IPhone not fully charging and home button not working?

My iPhone 4 only charges to 10% and stops. After it turns off it charges back to 10% and stops so it doesn't even get passed that. How do I fix this?
Also home button doesn't work I have to turn my phone off to get out of an app

Plug it into iTunes and back it up, then try restoring it to factory default. It will erase everything and restore it with your iTunes backup. If it doesn't work, then I'm afraid you'll have to send it in, or buy another one (probably cheaper).

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