Highway 61
Revisited
Not to put it bluntly, but your FE will fail on you sooner or later, their shutter speeds ceramic regulators are now very old. I have owned two FE, both failed the same way (erratic shutter speeds) after years of faithful use.Reliability always a consideration but I'd guess none of these are fragile.
The FA is known to have battery drain problems. With my FA, I found myself saving an important shot in extremis by quickly setting the M250 mechanical rescue shutter speed. This happened only a few weeks after having installed brand new SR44 batteries to replace the OEM batteries set, which had lasted a surprisingly very short time. Fortunately a routine check of the LCD display in the viewfinder had told me that the batteries had suddenly come empty. The third set of batteries lasted an equally short time. Clearly, the body had a battery drain issue. That was in the late 1980s and at that time many FA owners noticed the same problem.
It is possible that the FA you can now find on the second hand market are those which were immune from this issue, but...
Frankly, go for the FE2. This is by far the best choice to complement your FE if you want an aperture priority auto Nikon SLR of that era with the new honeycomb 1/4000s shutter, 1/250s TTL flash monitoring and the brighter focusing screens. The FE2 is quartz regulated and is a real workhorse.