IPhone :: 4 Typing On Its Own?

This is a major problem that has been occurring over the past week or so.Happening from once to four times per day, my one year old iPhone 4 will do something quite strange and abnormal.When I type anything; whether its on an app or just texting; it will either delete the sequence of letters or start typing and repeating letters on its own. Also, when I press any kind of button, the screen will spazz out in a way, and the button won't be pressed, another button in the close location to the button that was supposed to be pressed will be pressed.I searched online for answers aside from apple.com, my last resort, and they all said to restore to factory settings.I did do this, but this didn't work, because the first thing that happened when I typed in my wi-fi password for the first time was that it started to repeat A's, @'s, and O's. Then it seemed to stop.This is now preventing me from logging into my restored phone because I can't pass the setup guide with the problems that are occurring.

Info:
iPhone 4, iOS 5.1.1