Ah, it's one of those raspi plugins.
Re-reading your 1st post it seems that the modem works, you just need a way to automate the creation of your internet connection.
I'm not sure about your 'ip route' output (it looks like a different version of ip than mine), and 'ifconfig' doesn't even exist on any of my systems anymore (I guess it's 'ip link' now).
But always good to specify what is "not working" - can you ping numerical IPs?
It's a long time since I set up a ppp connection, but have a good look at
this article. I also used
wvdial at some point.
edit:
obviously you should also look around how other SBC users realized mobile broadband internet connections.
Just saw something right here on LQ.