I have not checked continuity on the fridge temperature control unit. Would this make sense as a possible point of failure in this situation?[/COLOR]
Yes it sounds like a thermostat problem.
I have a Sears/Kenmore 25361832106. It is immaculate on the outside and the inside. No dust or debris on the coils or the compressor. The issue is this:
[COLOR="Blue"]The freezer runs around 22 degrees and the refrigerator around 55. There are times when the compressor turns off, which leads me to believe it is a thermostat issue, but if there were the case wouldn't the freezer compartment be the correct temperature?[/COLOR]
No, not if there is a problem with the thermostat.
Depends a lot on how often it cycles.
This unit will go into a defrost cycle for 30 minutes every 8 hours of compressor run time.
So if this is the only time it is shutting off it could be a sealed system or a defrost problem.
[COLOR="Blue"]There's no ice buildup on the back wall of the freezer[/COLOR]
You have to check the evaporator coils. A defrost system problem does not always create heavy frost/ice on the inside of the freezer's back wall.
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and no clunking, ticking, or other noises to indicate that the compressor is struggling.[/COLOR]
This sounds like the compressor and it's start device are OK.
It could still have a sealed system ptroblem even if the compressor sounds OK.
[COLOR="Blue"]Before I start to take it apart, I wonder what direction I should consider? [/COLOR]
Is the evaporator/freezer fan running. It should be on whenever the compressor is on.
Is the condenser/compressor fan running, also on whenever the compressor is on.
If both the above are OK.
Remove the rear cover in the freezer and inspect the evaporator coils.
If they are clogged with frost/ice, you have a defrost problem. Usually a fairly easy repair.
If there is just frost in one area (usually where the freon enters the coils) it is probably a sealed system problem. This will be an expensive repair as you need a pro. It often makes more sense to put the dollars towards a new unit.
I would check your warranty as often the sealed system has a longer warranty.
Note that before checking the coils be sure that the compressor has run for at least an hour. If you check shortly after or during a defrost cycle you could reach the wrong diagnosis.