Refrigerator Runs and Stops But Won't Restart

I have a Magic Chef MCBR1020W fridge. Recently it has a problem where it won’t restart. When running it cools normally and everything else is fine. It will run a cycle, then shutoff I guess if the temp is reached, but then it won’t restart. It’s not everyday, but sometimes every other day, or it will go a couple of days running fine. To get it to turn back on I manually rotate the dial on the timer on the back of the unit. It seems going around one full rotation will get it to turn back on. So I make sure that I am ordering the right part, is the problem with the timer? Or is there something else that causes it not to turn on?