Beast,
your battery does NOT look fine. In the left leg, at the very bottom I see corrosion. That doesn't mean that it's eaten away the whole motherboard, and it looks like it hasn't spread a lot so the battery isn't the problem most likely, but again: that battery needs to go!
I'd do what Rkauer is saying: remove all extraneous boards, reseat all chips. Yes they do come out by constant cycles of contraction/expansion due to heat/cold. The old story about dropping it from up high was for A500s, and it does work, although it's for lazy people who don't want to open the machine. I wouldn't try it with an A2000, especially not over your feet :-D
