Call me cynical but I've all but abandoned repair of mid-market 70s-80s SLRs, choosing instead to hold a couple(OK, I've got 3 FEs, all working)in reserve that I got cheap. Historically strong sellers like the FE are plentiful and often inexpensive in nice shape. Repair services are thin and pricey. Who's willing to pay $100+ for a repair on a $50 camera when another is available?
I'd get a "new" FE and skip the fix unless you it's a DIY job or a cheap repair.