Logic board or dock connector issue?

My 3rd gen iPod was working fine until a couple months ago when I let the battery drain. When I tried to recharge it about a couple weeks ago the iPod began showing the folder with question mark Icon, although the hard drive was fine. I’ve tried several ways (even a zero-out using Disk Utility) until it fell from my bed (I was unaware I had the iPod there). From then on the iPod kept working but it didn’t connect to iTunes or charge via FireWire unless I took the rear metal plate off, sometimes I connected the charger and the iPod made small beeping sounds (like a truck on reverse) but it didn’t turn on. So, based on this I believe that there are two possibilities:

1. The dock connector needs to be replaced or resoldered: More likely since it’s slightly bent upwards and the iPod freezes when connected to a computer via USB (this had been happening for some time)
2. The logic board shorted: This seemingly would explain why the iPod can’t read the hard drive or connect to iTunes.

I want to know what are your thoughts on this and which you may think it will be the problem. If needed I can upload pictures of the logic board.