You should be able to:
sudo rm /lib/firmware/rtlbt/rtkbt
Check if you have a /lib/firmware/rtkbt. IF you do, remove that, too.
In terminal, run:
sudo apt install --reinstall blueman bluez-utils bluez bluetooth
sudo /etc/init.d/bluetooth start
Launch Blueman from the app menu, and try pairing the Bluetooth keyboard.


I actually often prefer to suggest it... but most users balk at the idea and really want to troubleshoot all the way through...