IPhone 4 won't turn on, help! - 1

I think it just needs to be charged, and normally if I wanted to check that I'd hold down the power button and home button, except recently my power button got stuck so I can't use it (I've been using assistive touch). I have my iPhone plugged into the wall right now, but the screen is just black. Nothing at all. It's been plugged in for over half an hour and there's been no change. Any help? I can't go to an Apple store.

This problem means these reasons:
1-the Dumping memory (1% Probability (P.
2-the Battery dumping (50% P)
3-the Jailbroken device [Bricking] (20% P)
4-the Battery connection dumping (0.5% P)
5-the DFU Mode (80% P)
6-LCD Dumping ( 0.5% P)
7-Home Or Power button Connection Dumping (1% P)
8-your Cable or Charger Dumping or Wall Dumping: D (30% P) > [[[[[[please check them up First]]]]]]
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okay now we're gonna solve the Highest P reason:
5> download the Redsn0w from www.idownloadblog.com and then connect your phone to PC, open the redsn0w then > click even more > just boot. (if redsn0w was detected your phone) if that was true and your phone Was in DFU mode thats no problem.good.
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if not:
2> you can't fix this problem.
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if NO go to Appstore or any Mobile Repairing Store. D:.