Default [Q] Phone touch screen plays up on low battery.

I dropped my phone and needed to replace the screen. I have done that and ever since then I have had problems. The screen started responding to touches that I didn't do when it was at low battery. The problem got worse and I wouldn't be able to use the phone unless it was on charge.

I tried to fix the phone by buying a new battery. The same issue starts occurring. It starts from the start tho, so it only does it at low battery now but seems to be getting worse. I have tried factory reset and battery calibration. I am stuck for ideas.

I am on stock ROM 4.2.2 16gb Nexus 4.

If there is any other information you need. I will post it. I also have a log of battery current from "current widget", that I can put up if that would be useful.