Whirlpool fridge- not cooling

Our refrigerator has stopped cooling( and freezer). There is no ice build up on coils in freezer. Both fans are running, and the compressor is hot- but I can’t tell if it is running or not. Checked the condensor terminals to ground-infinite resistance. Checked from pin to pin, and got pretty low resistance. The relay does not rattle when removed. I don’t hear any clicking when I plug the fridge in. I am not sure how to tell if the compressor is running. There is a capacitor installed on the relay- I don’t know how to test that stuff.

I plugged in the fridge, and unplugged the fan next to the compressor. ith my hand on the compressor I can feel it vibrating, so I think it is working.

Since the compressor and the fans are running and there is no cooling, you have a sealed system problem.
This will be an expensive repair as you need a pro.
often it makes more sense to put the dollars towards a new unit.

I would check the age and warranty on the unit as often the sealed system has a longer warranty period.