ok now I'm not the best mechanic in the world but I'm not an idiot. I have a 2002 escape 3.0 AT it has 127000 miles. It's been a super car for a while but now its having some troubles.Usually nothing I can't fix, until now.
it recently had some trouble with a COP and my wife parked it for a week until i could look at it. went o start it and the battery was dead. n problem figured cold weather so ijumped it and took it to my bro-in-law's garage and worked on it. when done took it for a test drive and all was well until i turned it off. got out shut the door and the radio came on. tried it a few more times with the same result. I'm kinda figuring this is what killed the battery. here is where I the help of all the guru's on this site. I hope it's something simple and you can call me a dummy, but i'm doubtful.

PLEASE HELP been dropping cash in this thing and cant afford much more.

 

A sticking relay could supply radio power. The GEM is supposed to provide power after the key is turned to OFF via a relay.
When you had the battery run down, it may have caused the GEM to forget what it was supposed to do, or allowed some of the programmable settings to change.
tom