That might not be from rooting. I had that same issue going on --hard to unlock, typing is crazy, just major screen issues. I wasn't rooted. I read somewhere to take the battery out and then hold the power button down (with the batter still out) to discharge the capacitor(?). That would clear the issue for a few hours. Then it would come back.
I took the phone to a repair center and the girl told me that it was probably because I had too many fingerprints on the screen.
I was sure that was it because I am pretty stoopit.
Anyway, I went home and did a factory reset. Now I only have screen-responsiveness issues when I try to use the phone when it is plugged into the wall.
I finally grew a set and rooted. My screen is still the same --- only have problems if I use it while charging. I just have to remember to unplug it before I use it. If I try to use swype while it is charging it looks like I have parkinsons on the swype track. LOL
Anyway, try a factory reset with the ROM you have in now and see if that helps. Or clean the screen! LOL