I removed the cover, used a multimeter to test the compressor circuit, and found the compressor start relay to be defective. Ordered a new one and installed it when it arrived.
Removed the cowling with a square drive screw driver, removed the spring clip from the cover of the compressor controls with a screw driver, pulled off the old compressor start relay and replaced it with the new part. Since other problems could have caused the compressor to short cycle this was a "replace the part and hope it would work" since that would be the most common reason and it was not a very expensive part.
Simple switch repair: Unplug fridge, pull down to remove switch assembly, slip contacts off. Reverse with replacement switch. HOWEVER, check first to see if the bulb filament might be broken, as this could cause the same symptom. OR in my case, the light socket connection was the culprit. Check that too before ordering a replacement switch.
