Hi 2-4-6-,
Thank you for posting to Apple Support Communities. We understand that you're experiencing issues with the display on your iPad responding, along with Touch ID not recognizing your fingerprint.
Let's start with the display not responding on the device. If you're unable to restart the iPad, we'd recommend a force restart. Check out the "Force restart iPad" section of this link: Restart iPad
The following support article has some additional steps that may help with your display not responding: If the screen isn’t working on your iPhone or iPad
If the display remains unresponsive, we'd recommend contacting Apple Support here: Get Support
Should the steps above help with the display issue, check out this support article for the behavior you're experiencing with Touch ID: If Touch ID isn't working on your iPhone or iPad
Cheers!