Hi Lucas，
It sounds like your iPad display is having symptoms of false touch, and I'm happy to help. If you haven't already, please try restarting your iPad firstly.
I had encountered iPad ghost typing issue with my device before, but it randomly occurred, I had thoroughly solved the issue by following some of these tips provided by lifewire, I do not know how these tips will be applicable to your case, but I hope that this can help you some way.
https://www.lifewire.com/fix-ipad-ghost-typing-1994343
You can just try out these methods straight away, back up your iPad before proceeding if there's anything important on your iPad.