I'm also having this issue but with my iphone 4. I restored several times and the effects still return. I also experience the "dead strip" where and entire horizontal strip about the width of your finger has no effect, usually right above the dock icons. I've got to Apple and to humor them them sent me home telling me NOT to restore but to just sync your music/apps etc. to a "new" phone. during my process I decided to play around with the scrolling of languages you can choose prior to full activation and the dead strip effect appeared, proving it is not my restores effecting the phone but the phone itself.
In short, if you're experiencig any of the effect people have mentioned above, it's best to replace your product. It's a clear defect of the device itself.
NOTE: I use one of those static screen protectors and the effects occured whether it was on or off. The screen is NOT effecting the defective phone.
Cheers, hope you all have Apple Care 😉.