Hi. My name is*****'m a camera repair technician with over 20years in the business and I'll be glad to help you with your question today.
The rewind on these are activated by a switch inside the top cover. This is the most likely culprit. The top cover needs to come off and the surfaces of the switch cleaned and re-aligned. Also, there's a little brown wire connected to it that has a tendency to break off and may need to be soldered in place.
Removing the top cover on these is pretty straight forward. Just remove the screws around the top edge and one screw in the battery compartment. Be very careful if you do. their are wires and cables connected to it. You don't need to lift the cover far. the switch is very accessible.
I'm sorry, I had a different model in mind. This one has the rewind switch built into the top cover. By the way, the F-801 doesn't automatically rewind. You'll need to push the little button to rewind the film at the end.
This is going to require disassembling the camera to troubleshoot and repair by an experienced camera repairman. You may want to check locally for a camera repair shop in your area, or, if you need assistance finding a shop, please let me know and I'll locate one for you.
The problem is most likely a switch contact that needs cleaning. It could also be a circuit board connector or any one of several other possibilities. It'll take a technician to diagnose and repair the camera.