1) This is a user-to-user technical support forum. You're not addressing Apple here.
2) What you're describing is, unless your phone has been jailbroken, for all practical purposes, impossible.
There are two likely reasons that you'd see "ghost touching" or the screen doing things on its own. The first is that your screen is failing. You can contact Apple and have them do a remote diagnostic.
Genius Bar Reservation and Apple Support Options - Apple
The second possibility is that your charging cable is failing. If you're only seeing this problem when your phone is plugged in, that could be the explanation. Try a different cable.