Well, what's wrong with your BT access? lol. Have you tried deleting the pairings and re-pairing them. It's a pretty general fix for the BT access with the 10.3.3 updates.
When I access the bluetooth list, no pairing shows at all. I can't scan for devices at all.
Make sure you reset your Bluetooth devices also then reboot your phone and re-pair each Bluetooth device one at a time making sure the discovery is on from your phone and discovery is set to on with each individual device you want to pair with one at a time. Do not have all your BT devices on at the same time. You may also want to try turning off all radio functions on your phone and bluetooth then rebooting your phone before doing any re-pairing. Good luck!