Q: my touch screen will not work

You can take a look at this support document for some troubleshooting suggestions, however I would guess that the damaged screen has finally stopped working, and you would need to get it fixed. If the screen on your iPhone, iPad, or iPod touch doesn't respond to touch - Apple Support

You can try connecting it to the computer and doing an iTunes backup if you haven't done one in a while, and if you do iCloud backups, then connect the device to power and your wi-fi and lock the screen to allow it to take an iCloud backup.