PC recovery, if it is started by F10, sounds like a CMOS/BIOS function and will depend on what the BIOS coders put in. I thought you said you had already tried it and found nothing ? I'd doubt it would find anything but I also doubt it would do harm to run.
Mouse properties are empty, eh. I'm wondering if deleting the reference to the mouse in the device manager, then rebooting, and then if it didn't find new kit added by itself during the power up, kicking off a search for new kit in the hope it would find the mouse and reinstall everything correctly. It might be worth a try.