Chosen Solution
Having the screen replaced. It appears to be fully functional until you start to use the phone then for whatever reason is slow. I have tried the screen on another phone and this is the same ???Somebody can help?
It might be a cheap aftermarket screen. Try updating the iOS on the phone. If it is up to date it might be time to try to get the screen replaced. When you say slow, the phone responds and acts slowly? Or is it more like when you touch the screen and move it around that the phone is “behind” the touch?