I have an A3000 that I got on Ebay with a corrosion problem (sold as working BTW :/ ), intermittent problems, 31khz would jump around, no boot when warm etc.
I fixed the problem by removing solder from around the acid damage with solder sucker and re-flowing it with a fresh one.
Works pretty good now.
Replacing the socket would probably improve your chances of making it work again.