Hi MiniNoman,
We'd like to offer some advice to hopefully assist with the issue you're having with your iPhone's touchscreen not responding.
1. Clean your iPhone. Just in case there is some residue left from the screen protector: Cleaning your iPhone - Apple Support
2. Next time your iPhone is not responding, try a forced restart, if you haven't already. Here's how: If your iPhone won't turn on or is frozen - Apple Support
3. Check the health of the battery. If it's near 80%, the performance of your iPhone can be affected: iPhone Battery and Performance - Apple Support
If below 80%, then the battery needs replacing: iPhone Battery Repair & Replacement - Apple Support
4. Have your iPhone examined by a technician: iPhone Repair & Service - Apple Support
Take care!