If your phone is less than two years old you may be able to use the warranty. Alternatively it may be worth dismantling the screen, cleaning the contacts, with isoproply alcohol and reasembling.
Given that a factory repair will result in a factory reset you may want to do that before sending it away.
Do a few basics
- Remove SD card but ensure it is not formatted as internal
- back up data
- try a safe mode start
To consider parts you may like to see if there is a #fairphoneangel near you that can swap some modules they may have. > Screen
All the best