From your description it almost sounds like the tweeter dome/voice coil are attached to the plastic faceplate and you simply took off the magnet. (did you have to put the silver dome part into a small gap in the magnet?) But Hard to tell exactly without taking mine apart too. sorry. not going to
Need some pics
From the sound of it though you might have ruined both of your tweeters. Or at least shortened the lifetime.
Call axiom and get new one(s) It might be a loose connection as you mentioned but for reliabilities sake you would be best with a new one.