I am not sure about reciprocity agreements between NC and CT, but I would check. Your speed in NC results in a 30-day license suspension, and theoretically if your license is suspended out-of-state, your home state will suspend it as well.

I'm going to take a wild guess and say your infraction occurred near Gastonia, where the speed limit is lowered from 65mph to 60mph north (east) of US 321. I have seen police "teams" set up underneath overpasses there in Gastonia as recently as a month ago. However, given that area is relatively suburban, the 60mph limit is not unreasonable, rather it catches people off guard.

I will agree with mD. VA is the worst state to drive in, with regards to enforcement. Every single one of my collegues and friends will agree with me.