iPad screen unresponsive with boxes around icons????

OK so I was browsing some photos in my iPad (Current Gen) on the 500px photo app. The app became unresponsive and was missing buttoms normally there, so I clicked the home button and got to the home screen. Once I did this, I was unable to scroll between my home screens. Every time I touch the screen, a rectangular box appears the app nearest to where I am touching. If I touch an app, it will not open, I can barely get in to settings. I plugged in to itunes and did a restore but it did the same thing. I powered it off and on a few times and the same things happens. When I touch the slide to unlock, a rectangular box displays around the slide to unlock and it takes several swipes before responding. This rectanuglar box floats around and it takes 20 clicks to get in to settings. Any idea whats going on and why I cant fix this? I am running 5.1.1