On my 04 XJR I have been having an issue, less frequent at first, and now quite often. When I go to start the car, when the key is turned to start, of course the doors all lock, but then the glove box opens, and 80% of the time the fuel filler door opens!
Any ideas as to why? The car now has 94,000 miles and the original battery, so I know that sometimes an old battery on these cars can do weird things.
I did have the terminals off about 6 months ago when I did the front shocks.

 

I would change the battery out, since it is the original. I've read that old batteries can cause all kinds of electrical issues like what you describe above.

 

+1 on the battery...you're on borrowed time..

 

That's what I'm hoping...now the interior light comes on after I start the car and I have to push the button on the overhead console to turn it off

 

This morning I asked my daughter to put a cd case in the glove box. She reached for the button to open it and then decided to just wait for me to start the car
Auto open!