I turned the screw and it cycled again. Arm comes up and back down again. Still no water coming into the little white trough at the rear of the icemaker. Could that line be frozen?
Very unlikely to be frozen, your problem is you have a bad water valve. The reason why water still comes out of the door is because your water valve is a dual water valve. One part comes on when you need water at the door and the other part comes on when the icemaker calls for it. You need to replace the water valve and you will be good to go. Now also with your type of water valve you also have a single water valve that all the water goes through before it goes through the dual water valve so do get to confused. I am sending you a link to a diagram and the number of the valve is #795 on the diagram. Thank you for your time and patience, Randy.
the single valve is good since that valve works for both the icemaker and the water on the door. However, due to the age of the fridge and if you can afford it that might be a good idea to replace both. They are very easily accessible. If you pull out your fridge and look at the bottom back you will see where the water line goes in to the water valves.