I have a noob question but ..........do complete uppers have to be shipped to a FFL dealer, or can they just ship them direct to your house?
Isn't CT one of the "postban states?" I'm pretty sure you'd have to order a postban style upper, just in case you didn't know. (No bayonet lug, no threaded barrel/flash hider, no collapsible stock, etc).
Here's a couple pretty good links so you can check for yourself so you know you're in compliance or not.
ATF Online - Publication 5300.5: State Laws and Published Ordinances - Firearms