I may be wrong, but they have dual jurisdiction. Besides, it's very difficult to try to get rid of a ticket by claiming wrong jurisdictions...if you were speeding in their territory, and they can prove it, which they can, they'll pull you over.

Improperly displayed tag isn't a moving violation...they can't give you points for that.

Why don't you just take one of the defensive driving classes on the internet for like $30. Unless you've already taken as many as is legally allowed, you won't get any points on your license.