Does the QRH say what to do if you've reset the FAC several times and the problem keeps returning?
If the computer is not faulty, but the inputs to it are, no amount of resets will make it behave differently.....which behaviour may be preventing the pilots from doing what is necessary for saving the plane.
I'd suggest pulling the CBs did not cause the problem but was a reaction to it. I bet it was after the zoom climb. Doesn't sound like the sort of thing to do just for fun in the middle of a thunder cloud.