I had a similar problem with my A3000T. Even thought I removed the battery (installed a Lithium hack) when I first got it (It didn't leak as far as I could tell at the time) Apparently it did leak some as right under the path of the battery there was some corrosion and green streaks on the traces. I tested and found a trace was eaten so i repaired it and my A3000T finally worked! Check to see around your battery for broken traces. Good luck.
