J.J. rather than spending weeks, if not months dealing with the dealer who usually doesn't have a clue as to how to fix your car. I would take things into my own hands and try something different.
Having a coupe, I really can't help you with your top issue. But for your wing that has a mind of it's own, simply do like I did and "hot wire" your fuse box and by-pass the fuse for the wings motor with an "on/off switch".
I wasn't having any problems with my wing when I did it, I just wanted to have more "control" over when the wing went up.
I think this would probably be the "easiest" way to stop it from coming up when ever it wants to.