I ordered both the Inlet valve and the pressure switch, although replacing the water level switch did not make sense to me since unplugging the washer did not stop the machine from filling with water - I had to shut off the water supply to the washer.
Replaced the Inlet Valve Assembly. The problem is gone.
Just 1 note to all: the electrical tabs on the coils of the replacement inlet valve bank seem to be slightly smaller and/or thinner than the original. I hope I do not have an electrical connection problem due to vibration in the future.