Well I went and got a relay and capacitor and it worked for a short while and is not buzzing and clicking like the old one and the compressor is hot. How hard is it to change a compressor?

Well i have an update. I couldn't find my original receipt and called Amana and they told me the fridge was made in August of 04. They said if i didn't have my receipt that is the date we would have to go from for a warranty start date. I went back to the store where I originally purchased it from that they found my original receipt. It was purchased in July of 05. I called and scheduled an appointment and the tech came this afternoon and put a new relap in it just like the one I put it and it is working again. I told him what I had done with the new relay and capacitor and he said he would just replace the compressor since it sounds like once it gets hot again it would do it all over and if not we would still have a new compressor. He said he would order one and contact us next week. :D Thanks for your replies!