Our refrigerator/freezer will stop working (not...

It starts off by making a strange noise. Like a long hum and a click. As if the compressor is attempting to come on but can't. It will do this for a couple of days then it will no longer cool or freeze. The fan is working, but blowing hot air. Then about 3 days after it has stopped it magically starts working again..and will for about 2 weeks. We have cleaned the coils as suggested in the manual, but it did not do anything to help it. Is it possible that the thermostat is going out? Our refrig is only 2 years old. We bought it brand new when we bought our house. What can we do to fix this problem?
Jenn-Air JBL2086HES purchased August '04.  June '08, freezer thaws and frig items become warm.  I did hear a humming sound followed by a click averaging every two mintes.  Authorized service deems it to be the relay switch and replaces for $24.00 + svc call.  Two weeks later, a repeat of the situation, but I had a different authorized service and since I unplugged the refrigerator, they were not able to assess the situation once plugged in.  They did suspect the compressor and in addition to saying we had one year left on the warranty for compressor, do not unplug refrigerator.  Yesterday, a repeat performance and the second Authorized Dealer was out and said the Blue Indian Compressor was not dependable and they were having many complaints.  Hoping to have a new once shipped and installed tomorrow.  Once I know the compressor replacement, will post. Unfortunately, these Corporations are not interested standing behind the product name, but instead are looking at the bottom line and therefore look to buy their integrated components overseas cheaper, yet still charge the American Public prices as if they are paying wages here in America.