Hi Mike,
Most likely the problem is with the water inlet valve. The valve has two solenoids - one solenoid is for the water dispenser and the other is for the ice maker. There is a small chance that the ice maker module may be bad, but sounds like the valve is what you need.
Water valve for your model
Note: Before changing the valve, don't forget to: 1. unplug the refrigerator power cord 2. turn off the water supply to the refrigerator.
Hope this helps.