I removed your personal information. Please remember that this is a public forum, not a direct troubleshooting site. Anything you post here can be seen by anyone.
I grabbed your phone number before I deleted it, and looked your account up. It looks like you've already spoken to Customer Care, but I don't see a service call built.
The history of the modem over the past week only shows it dropping once, thought that's for the past 3 days. Looking over the past month, I see it drop off regularly. My first thought when I see that is to look at signal quality. Yours is solid, no major jumps or drops. That rules out the transceiver, most likely. Probably the cable run as well, though I can't see any info on that with the modem offline.
My next guess is going to be the power supply. What's the modem plugged into? Direct to the wall, powerstrip/surge protector, UPS? Bypass anything that's not the direct wall outlet. If you're direct into the wall, move to a different one. If it's still not powering up/locking onto the satellite, I'd say it's probably the modem itself.
That'll require a service call. If you have Easycare, then the service call won't cost anything. I'd suggest calling back into Care, once you've followed the steps above, and request a service call to replace the modem and modem's power supply.