Amana Model SQD22NBW Refrigeration stopped running...

Question

Amana Refrigeration stopped running. The only thing that appers to run is the lights. It is in the garage and I went out to get something and noticed it had stopped cooling. I emptied the freezer and refrigerator (lost a lot of food that spoiled). I left it unplugged during the night and plugged it in that morning. The fan and compressor appeared to turn on and start cooling. About 1 hour later I returned and it had turned off. I tried it again the next day and it turned off in a couple of minutes. Is this a simple fix? What parts do I need to replace.

Help,
Brent