I got it working finally. I turned out to be not as simple!
After I did a Lightning replacement some time ago I didn’t notice the right placement for a coaxial cable laying in the bottom of assembly. I stuffed it under the speakers and THAT WAS WRONG MOVE, as they lifted a bit. So when I glued the screen it had a stress on the bottom. I didn’t even notice it as it was laying flush. But after a drop something interrupted there and it touch started glitching.
I suspect it needs a replacement anyway, but for now it works.