Your modem seems to be operational.
So, what you have to do:
Sep 16 18:25:27 linux-2hk5 kernel: usb 5-1: [ueagle-atm] modem started, waiting synchronization...
Sep 16 18:25:39 linux-2hk5 kernel: usb 5-1: [ueagle-atm] modem operational
1).Go to : /etc/ppp/ and open with a text editor the file: pap-secrets
at the end of the file add the following line:
replace email@example.com with your account -space asterisk-space your password
firstname.lastname@example.org * mypassword
2)Go to /etc/ppp/peers and create a file named as you like ex. pppoa-myisp
Copy paste the following and save:
Replace red marked lines:
1) user email@example.com with that from pap-secrets file
2) 8.35 stands fro VPI VCI. You can find them from your ISP.
Save and exit
Notice that I am using ppp over ATM.
Finaly open a console and type:
then file that you have created in /etc/ppp/peers/
pppd call pppoa-myisp
You can refer also in these page:
This is for my ISP otenet.
Hope I helped some.