Office Emergency! Our fridge won't cool!
 

Make: Magic Chef
Model: MCBR1000S

Problem: Our refrigerator seemed rather warm sometime last week. We took it apart and realized our coils in the freezer were frozen solid and our fan couldn't turn fluidly. We let it sit and defrost, we cleaned it up and put it back inside. We plugged it in over night before loading it back up. It seemed to work fine for a few days, although warmer than usual. We keep it one notch under max for the fridge and the freezer, btw. Today, we realized the fan wasn't spinning at all and water I put in the ice trays on Thursday was still NOT ice! The coils are not frozen any more. The compressor kicked on once, and then when we unplugged it and replugged it, it didn't kick back on.

Any ideas?

Sounds like a thermal overload on the compressor possibly due to the fan not cooling the condensor.
Also, sounds like a bad fan motor.
The fan motor was seeing power to the windings but wasn't able to disapate the power due to a physical blockage of ice to the fan blades. See if you can find the defrost timer and verify that it isn't stuck on. I doubt that it is being that it failed once already.
Could be toast.

I was afraid this is what would be the problem. I figured it would be because the fan motor (I assume) was trying to run the whole time ice was blocking it.

I'll look into fan motors. Thanks!