screen gets crazy


Today I changed my broken android's screen to new one. It is unoriginal, but it was already unoriginal before. Everything went fine. But after 10mins of everything working fine - screen gets crazy. It touches itself and does not react to anything I would touch. It even doesn't listen if I plug the computer's mouse to it.
The only one "solution" which works is restarting phone with manual "off" button. Then, after turning it on, it works again perfectly... for 5-10mins..
I have searched through forums and did not find anything that could work and I have no idea what could be issuing it.
Please help, if you have any ideas..

Already did several factory resets over the phone and over the computer.
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