Here are your parts
Parts for Kenmore Refrigerator 25352649304 - AppliancePartsPros.com

The Sears site has actual parts breakdowns. Unfortunately they will not share them with 3rd party parts suppliers.

Below is your tech sheet.
http://manuals.frigidaire.com/p...f/Anderson/240389614.pdf

Remove the rear cover so you can access the compressor.
It should be warm (not hot) and you should be able to feel it vibrating.
Be careful when checking it, in case it is very hot.

Is the condenser/compressor fan running.

If the compressor is OK then remove the cover inside the freezer side so you can inspect the evaporator coils.
Is the evaporator fan running?
If there is no frost on the coils then you have a sealed system problem.
If there is just frost in one area (usually where the freon enters the coils), it is also a sealed system problem. Likely low freon.
Be sure that the compressor has run for a couple hours, if you do this check shortly after a defrost cycle you could come to the wrong conclusion.

If it is a sealed system problem then it will be an expensive repair as you need a pro.
Often it makes more sense to put those dollars towards a new unit.