In my area, TWC does not use Phone Port #2 at all for whatever reason on residential or commercial installs. Sounds to me like the Phone Ports (since they are blinking) aren't provisioned properly.

Did you just get this service installed?
Is this problem new?
Can you get online fine? Can you load web sites okay?

If you cannot get online at all, then check the coax cable going into the cable modem and make sure it is tightly connected to the cable modem. If you still are having problems, then yes a truck roll might be necessary if they are 100% sure that the modem has been provisioned.