Short update:
Replaced my Screen two week ago and no ghost inputs on my phone. Still notice (but didn’t mentioned here by myself) a dimmering effect on my screen, which is already discussed in another topic and sometimes getting lags and low fps with the camera when going on ~ 0,6 zoom/widescreen.
i still don’t recommend, that everyone should replace it but if Support doesn’t seem to help you and the tape trick from @facetto is also not improving it can be worth trying.