I don’t remember if it had the status LED when charging, or if it vibrated when charging or receiving calls, but it probably did, since except for the issue of the screen going off throughout the day (and especially when folded, as in this video), the phone worked fine.
I’m not sure if it was the same type of problem you have, as I actually don’t recall having any issues with the touchscreen. You can read the whole thread to see what my problem was like, but I think it was quite different from yours.
Sorry I can’t be of more help, best of luck 
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