Hi I'm John I will help you with the fridge problem.
Open the freezer door and reach in to the back panel and tell me if you can feel frost on that panel.Also send me the model number please.
If no frost on the freezer coils pull the fridge out and remove the bottom panel and check the condenser coils if their dirty or the fan motor isn't going its the problem.
Check that and let me know if its the problem please.
You can see the condenser coils by removing the bottom kick plate at the front of the fridge , If the coils are dirty just clean out the coils if the fan motor isn't going at the back of the fridge by the compressor replace the fan motor.
If you need help with that let me know please.
You could pull the fridge out and remove the back lower panel and clean that location as well , Its very important to keep those coils clean.
You can wait if you like thats fine.
Yes thats the relay thats stopping the compressor from going its the numbers 18 and 19 in the breakdown , The dirty coils can cause the relay to fail .
Replace those parts and keep the coils clean it should fix the problem.
Don't forget to replace both parts number 18 and 19,
Here is a typical wiring diagram of the relay hook up.
When was it starting , was it before you cleaned the coils and had the no cooling problem?
You can switch the wires as long as the white and red wires aren't on the same connection.
Thats what I would do is by a new fridge .
Its a good time with all the deals out there now.
Thanks and god bless.