Terrible problem with Iphone touch screen?

There's a serious problem with the touchscreen for my iPhone 5c. The touch screen will out of the blue become incredibly inaccurate and will just jitter around. The most common things that happen during this is the search iphone menu when you scroll up on the main page will show up momentarily before going back up. Another cryptic thing it does is when I tap the screen the touch recognizes it as being touched near the AppStore app, or the H key, around that area. Sometimes I don't even have to touch the screen, if I just hover my finger over the top it recognizes it. The weirdest thing of all though is when I lock the screen and come back 9/10 times the problem is fixed, only to come back minutes later. Any help would be appreciated.

Is this a problem only when your phone is plugged in? I have a faulty charger block which gives me the same issue.

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