iPod Touch Problems (Accelerometer and Charging)

I have had my iPod Touch since early October of 2009, and I've never experienced problems with it until late 2010 (around October). It's a 3rd Generation 32 GB iPod, and it runs on the 4.0 OS. I haven't synced it much because my computer has a virus that doesn't let me use iTunes. There are two main problems on my iPod that bother me like hell, and a bunch of little problems I can live with. The first and biggest problem... the Accelerometer DOESN'T work! It stopped working around early December. I managed to sync it on iTunes one last time, and it was fine for day, but the next it stopped working correctly. My other main problem is that every time I plug it in to my iHome, or another place to charge, I get "Charging is not supported with this accessory", when it IS supported. To fix it, I unplug it and replug it repeatedly until it starts charging. It lagged before, but I deleted many applications which make it run smoother. I wasn't planning on jailbreaking it, but my close friend told me I should, and since it wasn't working right, I thought "What the hell." So now it's jailbroken, and when I jailbroke it, the Accelerometer worked. But again, after a day, it stopped working. I'd like to know how to fix it. I posted this on Yahoo! Answers (twice) but it wasn't helpful. (http://answers.yahoo.com/question/in...9122118AA8Nnrl) Please help, thank you.

 

Have you tried charging it via another usb power source ? eg back of the PS3 or Nintendo Wii
Have you tried the hard reset,holding down sleep switch and front button together ?
If you can, undo the jailbreak and take it to a Genious in any Apple Store. Yes its out of warranty but they will still be happy to help.