I suggest a forced-restart of your iPad - as this will often resolve an isolated issue:
- On an iPad with a Home button: Press and hold the top button and the Home button at the same time. When the Apple logo appears, release both buttons.
- On an iPad with Face ID: Press and quickly release the volume up button, press and quickly release the volume down button, then press and hold the top button. When the Apple logo appears, release the button.
If the screen sensitivity continues to exhibit issues:
If the screen isn’t working on your iPhone or iPad - Apple Support
Should difficulties persist, you would be best advised to seek assistance directly from Apple. A visit to the Genius Bar at your local Apple Store will provide opportunity for the technicians to test and evaluate the problem.
Alternatively, you might contact Apple Support. Being remote, they are obviously less able to witness and evaluate the problem, but do have some remote diagnostic capability. You’ll find the Contact Support link at top-right of this page.
You can also start a support case using the Apple Support App. If not already installed on your iPad, it can be downloaded from the Apple App Store:
https://apps.apple.com/gb/app/apple-support/id1130498044
I hope this information and guidance proves to be helpful to you.