Screen not working properly

I suggest contacting/reaching out to Apple Product support and services.

Tap on the first link below and scroll down some to get to the Apple Product Support section and phone numbers for your location/region.

https://www.apple.com/contact/

OR

https://support.apple.com/en-us/HT201232

If you need to, if initial 1st tier Apple customer support is of no help to you, you can calmly ask to have this issue escalated up to more responsible, senior level Apple customer support employees to see if they can come up with other possible advice/solutions to your iPad touch screen issues, but I make no guarantees, whatsoever.

If need be, you can have your iPad issues escalated all the way up the chain to Apple engineering level customer phone support.

Even if no acceptable resolution, Apple, AT LEAST, logs all support calls and issues.

Best of Luck to You!

Have you tried a simple hard reset of your iPad by holding down both the Home and the top single sleep/wake/power buttons simultaneously until your iPad goes to black and restarts with Apple logo, then release the buttons?

Good Luck!