It's possible for the camera to function correctly in Auto with the needle pointer not moving. The needle could be jam, broken wiring in the coil or broken wiring to the meter movement. I was asking the question trying to determine the problem.
I am trying to locate the service manual for the FE. But in general, in Auto mode the light strike the photocell generate current. This current going thru a logarithmic amplifier to make it proportional to the EV rather than light intensity. This output is fed into a subtracting amplifier, subtracting the amount of stop down from the aperture coupling as well as the ISO dial from the number of stop slower than max ISO. This output is then fed into the shutter speed control circuit as well as the meter indicator. The meter indicator can be dead and the camera still function properly.