перезагрузил, выполнил $tail -f /var/log/syslog
Далее полный вывод с описанием моих действий
Jul 6 12:17:16 raspberrypi NetworkManager[2973]: <warn> (ttyUSB1): failed to look up interface index
Jul 6 12:17:16 raspberrypi NetworkManager[2973]: <info> (ttyUSB1): new GSM/UMTS device (driver: 'option1' ifindex: 0)
Jul 6 12:17:16 raspberrypi NetworkManager[2973]: <info> (ttyUSB1): exported as /org/freedesktop/NetworkManager/Devices/1
Jul 6 12:17:16 raspberrypi NetworkManager[2973]: <info> (ttyUSB1): now managed
Jul 6 12:17:16 raspberrypi NetworkManager[2973]: <info> (ttyUSB1): device state change: unmanaged -> unavailable (reason 'managed') [10 20 2]
Jul 6 12:17:16 raspberrypi NetworkManager[2973]: <info> (ttyUSB1): deactivating device (reason 'managed') [2]
Jul 6 12:17:16 raspberrypi NetworkManager[2973]: nm_system_iface_flush_routes: assertion 'ifindex > 0' failed
Jul 6 12:17:16 raspberrypi NetworkManager[2973]: nm_system_iface_flush_addresses: assertion 'ifindex > 0' failed
Jul 6 12:17:16 raspberrypi NetworkManager[2973]: <info> (ttyUSB1): device state change: unavailable -> disconnected (reason 'none') [20 30 0]
Jul 6 12:17:28 raspberrypi /USR/SBIN/CRON[4309]: (root) CMD ( cd / && run-parts --report /etc/cron.hourly)
Выдернул модем из USB
Jul 6 12:19:28 raspberrypi kernel: [ 210.494638] usb 1-1.4: USB disconnect, device number 5
Jul 6 12:19:28 raspberrypi kernel: [ 210.495160] option1 ttyUSB0: GSM modem (1-port) converter now disconnected from ttyUSB0
Jul 6 12:19:28 raspberrypi kernel: [ 210.495249] option 1-1.4:2.0: device disconnected
Jul 6 12:19:28 raspberrypi kernel: [ 210.499438] option1 ttyUSB1: GSM modem (1-port) converter now disconnected from ttyUSB1
Jul 6 12:19:28 raspberrypi kernel: [ 210.499560] option 1-1.4:2.1: device disconnected
Jul 6 12:19:28 raspberrypi kernel: [ 210.499996] option1 ttyUSB2: GSM modem (1-port) converter now disconnected from ttyUSB2
Jul 6 12:19:28 raspberrypi kernel: [ 210.500073] option 1-1.4:2.2: device disconnected
Jul 6 12:19:28 raspberrypi kernel: [ 210.500594] option1 ttyUSB3: GSM modem (1-port) converter now disconnected from ttyUSB3
Jul 6 12:19:28 raspberrypi kernel: [ 210.500677] option 1-1.4:2.3: device disconnected
Jul 6 12:19:28 raspberrypi modem-manager[3006]: <info> (tty/ttyUSB1): released by modem /sys/devices/platform/bcm2708_usb/usb1/1-1/1-1.4
Jul 6 12:19:28 raspberrypi NetworkManager[2973]: <info> (ttyUSB1): now unmanaged
Jul 6 12:19:28 raspberrypi NetworkManager[2973]: <info> (ttyUSB1): device state change: disconnected -> unmanaged (reason 'removed') [30 10 36]
Jul 6 12:19:28 raspberrypi NetworkManager[2973]: <info> (ttyUSB1): cleaning up...
Jul 6 12:19:28 raspberrypi NetworkManager[2973]: <info> (ttyUSB1): taking down device.
Вставил обратно
Jul 6 12:20:43 raspberrypi kernel: [ 285.487575] usb 1-1.4: new high-speed USB device number 6 using dwc_otg
Jul 6 12:20:43 raspberrypi kernel: [ 285.588930] usb 1-1.4: New USB device found, idVendor=1bbb, idProduct=022c
Jul 6 12:20:43 raspberrypi kernel: [ 285.588961] usb 1-1.4: New USB device strings: Mfr=2, Product=1, SerialNumber=0
Jul 6 12:20:43 raspberrypi kernel: [ 285.588976] usb 1-1.4: Product: HSPA+ USB Modem
Jul 6 12:20:43 raspberrypi kernel: [ 285.588989] usb 1-1.4: Manufacturer: Spreadtrum
Jul 6 12:20:43 raspberrypi kernel: [ 285.593007] usb-storage 1-1.4:1.0: USB Mass Storage device detected
Jul 6 12:20:43 raspberrypi kernel: [ 285.599046] scsi host1: usb-storage 1-1.4:1.0
Jul 6 12:20:44 raspberrypi kernel: [ 286.198582] option 1-1.4:2.0: GSM modem (1-port) converter detected
Jul 6 12:20:44 raspberrypi kernel: [ 286.199602] usb 1-1.4: GSM modem (1-port) converter now attached to ttyUSB0
Jul 6 12:20:44 raspberrypi kernel: [ 286.200879] option 1-1.4:2.1: GSM modem (1-port) converter detected
Jul 6 12:20:44 raspberrypi kernel: [ 286.208436] usb 1-1.4: GSM modem (1-port) converter now attached to ttyUSB1
Jul 6 12:20:44 raspberrypi kernel: [ 286.209698] option 1-1.4:2.2: GSM modem (1-port) converter detected
Jul 6 12:20:44 raspberrypi kernel: [ 286.210803] usb 1-1.4: GSM modem (1-port) converter now attached to ttyUSB2
Jul 6 12:20:44 raspberrypi kernel: [ 286.212066] option 1-1.4:2.3: GSM modem (1-port) converter detected
Jul 6 12:20:44 raspberrypi kernel: [ 286.213163] usb 1-1.4: GSM modem (1-port) converter now attached to ttyUSB3
Jul 6 12:20:54 raspberrypi modem-manager[3006]: <info> (ttyUSB2) opening serial port...
Jul 6 12:20:54 raspberrypi modem-manager[3006]: <info> (ttyUSB1) opening serial port...
Jul 6 12:20:54 raspberrypi modem-manager[3006]: <info> (ttyUSB3) opening serial port...
Jul 6 12:20:54 raspberrypi modem-manager[3006]: <info> (ttyUSB0) opening serial port...
Jul 6 12:20:57 raspberrypi modem-manager[3006]: <info> (ttyUSB2) closing serial port...
Jul 6 12:20:57 raspberrypi modem-manager[3006]: <info> (ttyUSB2) serial port closed
Jul 6 12:20:57 raspberrypi modem-manager[3006]: <info> (ttyUSB2) opening serial port...
Jul 6 12:20:57 raspberrypi modem-manager[3006]: <info> (Generic): GSM modem /sys/devices/platform/bcm2708_usb/usb1/1-1/1-1.4 claimed port ttyUSB2
Jul 6 12:20:57 raspberrypi modem-manager[3006]: <info> (ttyUSB1) closing serial port...
Jul 6 12:20:57 raspberrypi modem-manager[3006]: <info> (ttyUSB1) serial port closed
Jul 6 12:20:57 raspberrypi modem-manager[3006]: <info> (Generic): GSM modem /sys/devices/platform/bcm2708_usb/usb1/1-1/1-1.4 claimed port ttyUSB1
Jul 6 12:20:58 raspberrypi modem-manager[3006]: <info> (ttyUSB2) closing serial port...
Jul 6 12:20:58 raspberrypi modem-manager[3006]: <info> (ttyUSB2) serial port closed
Jul 6 12:21:06 raspberrypi modem-manager[3006]: <info> (ttyUSB0) closing serial port...
Jul 6 12:21:06 raspberrypi modem-manager[3006]: <info> (ttyUSB0) serial port closed
Jul 6 12:21:06 raspberrypi modem-manager[3006]: <info> (ttyUSB0) opening serial port...
Jul 6 12:21:08 raspberrypi modem-manager[3006]: <info> (ttyUSB3) closing serial port...
Jul 6 12:21:08 raspberrypi modem-manager[3006]: <info> (ttyUSB3) serial port closed
Jul 6 12:21:08 raspberrypi modem-manager[3006]: <info> (ttyUSB3) opening serial port...
Jul 6 12:21:10 raspberrypi modem-manager[3006]: <info> (ttyUSB0) closing serial port...
Jul 6 12:21:10 raspberrypi modem-manager[3006]: <info> (ttyUSB0) serial port closed
Jul 6 12:21:15 raspberrypi modem-manager[3006]: <info> (ttyUSB3) closing serial port...
Jul 6 12:21:15 raspberrypi modem-manager[3006]: <info> (ttyUSB3) serial port closed
Jul 6 12:21:15 raspberrypi NetworkManager[2973]: <warn> (ttyUSB2): failed to look up interface index
Jul 6 12:21:15 raspberrypi NetworkManager[2973]: <info> (ttyUSB2): new GSM/UMTS device (driver: 'option1' ifindex: 0)
Jul 6 12:21:15 raspberrypi NetworkManager[2973]: <info> (ttyUSB2): exported as /org/freedesktop/NetworkManager/Devices/2
Jul 6 12:21:15 raspberrypi NetworkManager[2973]: <info> (ttyUSB2): now managed
Jul 6 12:21:15 raspberrypi NetworkManager[2973]: <info> (ttyUSB2): device state change: unmanaged -> unavailable (reason 'managed') [10 20 2]
Jul 6 12:21:15 raspberrypi NetworkManager[2973]: <info> (ttyUSB2): deactivating device (reason 'managed') [2]
Jul 6 12:21:15 raspberrypi NetworkManager[2973]: nm_system_iface_flush_routes: assertion 'ifindex > 0' failed
Jul 6 12:21:15 raspberrypi NetworkManager[2973]: nm_system_iface_flush_addresses: assertion 'ifindex > 0' failed
Jul 6 12:21:15 raspberrypi NetworkManager[2973]: <info> (ttyUSB2): device state change: unavailable -> disconnected (reason 'none') [20 30 0]
выполнил $#sudo wvdial beeline
Jul 6 12:23:49 raspberrypi kernel: [ 471.620932] PPP generic driver version 2.4.2
Jul 6 12:23:49 raspberrypi pppd[19525]: pppd 2.4.5 started by root, uid 0
Jul 6 12:23:49 raspberrypi pppd[19525]: Using interface ppp0
Jul 6 12:23:49 raspberrypi pppd[19525]: Connect: ppp0 <--> /dev/ttyUSB1
Jul 6 12:23:49 raspberrypi pppd[19525]: CHAP authentication succeeded
Jul 6 12:23:49 raspberrypi pppd[19525]: CHAP authentication succeeded
Jul 6 12:23:49 raspberrypi kernel: [ 471.761122] PPP BSD Compression module registered
Jul 6 12:23:50 raspberrypi kernel: [ 471.799678] PPP Deflate Compression module registered
Jul 6 12:23:50 raspberrypi NetworkManager[2973]: SCPlugin-Ifupdown: devices added (path: /sys/devices/virtual/net/ppp0, iface: ppp0)
Jul 6 12:23:50 raspberrypi NetworkManager[2973]: SCPlugin-Ifupdown: device added (path: /sys/devices/virtual/net/ppp0, iface: ppp0): no ifupdown configuration found.
Jul 6 12:23:50 raspberrypi ifplugd(ppp0)[19554]: ifplugd 0.28 initializing.
Jul 6 12:23:50 raspberrypi ifplugd(ppp0)[19554]: Using interface ppp0/00:00:00:00:00:00
Jul 6 12:23:50 raspberrypi ifplugd(ppp0)[19554]: Using detection mode: IFF_RUNNING
Jul 6 12:23:50 raspberrypi ifplugd(ppp0)[19554]: Initialization complete, link beat detected.
Jul 6 12:23:50 raspberrypi ifplugd(ppp0)[19554]: Executing '/etc/ifplugd/ifplugd.action ppp0 up'.
Jul 6 12:23:50 raspberrypi ifplugd(ppp0)[19554]: client: Ignoring unknown interface ppp0=ppp0.
Jul 6 12:23:50 raspberrypi ifplugd(ppp0)[19554]: Program executed successfully.
Jul 6 12:23:56 raspberrypi pppd[19525]: Could not determine remote IP address: defaulting to 10.64.64.64
Jul 6 12:23:56 raspberrypi pppd[19525]: not replacing existing default route via 192.168.1.1
Jul 6 12:23:56 raspberrypi pppd[19525]: local IP address 10.34.52.211
Jul 6 12:23:56 raspberrypi pppd[19525]: remote IP address 10.64.64.64
Jul 6 12:23:56 raspberrypi pppd[19525]: primary DNS address 10.10.30.238
Jul 6 12:23:56 raspberrypi pppd[19525]: secondary DNS address 10.10.30.246
Jul 6 12:23:57 raspberrypi ntpd[3043]: Listen normally on 3 ppp0 10.34.52.211 UDP 123
Jul 6 12:23:57 raspberrypi ntpd[3043]: peers refreshed
Больше в логе ничего не появлялось
выполнил $ping
www.yandex.ruподождал минут 5-7 - в терминале выдал
ping: unknown host www.yandex.ru
выполнил $ping 77.88.21.11 - пошел пинг. Вспомнил про интернет на роутере - отключил(К роутеру, к слову, целевой компьютер через LAN подключен) и повторил... ждал минут 5-7.
PING 77.88.21.11 (77.88.21.11) 56(84) bytes of data.
^C
--- 77.88.21.11 ping statistics ---
478 packets transmitted, 0 received, 100% packet loss, time 476999ms
Но успешно пропинговался: 10.34.52.211 (взятый из сислога), 192.168.1.1 (мой роутер) - наверное, ни о чем не говорит...
Пользователь решил продолжить мысль 06 Июля 2015, 15:55:29:
Отредактируй resolv.conf с выше указанными адресами и выполни команду на запрет перезаписи -
sudo chattr +i /etc/resolv.conf
и пробуй ping .
Не , это не то , сам запутался , эта команда для другой ОС , щас поищу ... , да нет все правильно , это она 
Черт, это сработало!!!!!!! Пинг пошел!!