My name is Peter. I am a retired field service refrigeration technician.
First, If your water dispenser is working, is the water flow strong?
If not, when you lost your water supply, the water supply valve may have become plugged.
You need a water supply of 65 PSI to fill the ice maker.
1.) Check the water pressure - With a measuring cup - run the water from your water dispenser. You should get 15 ounces of water in 8 seconds. If not then you have a plugged water supply valve.
2.) Ice maker frozen fill tube - At times the ice maker fill tube can freeze up. Inspect the fill tube and defrost with a hair dryer.
3.) Start Jump the ice maker - You will need a short piece of 16 gage wire or so, approximately 4" long, with 1.2" striped bare wire at each end.
a.) There is a plastic cover on the front of your ice maker. The cover just pops off. With a butter knife pop off the front cover.
You will see the Control Module.
b.) In the lower left hand corner, you will see two holes 'T' & 'H'.
While holding the freezer door switch in, insert the jumper into these holes. After 8 seconds remove the jumper still holding the light switch in.
Is there vibration?
Is the gap in the center of the gear broken?
You may have a burned out circuit or motor, or broken gearing.
This component is replaceable. You need to remove three face screws.
P/N: Substitution: W10190935 Cost: $110.00 (Sears)
A New Ice Maker P/N Part #: 4317943 Cost: $110.00.
Suggestion: Go into eBay, plug in the part number. You can get a new ice maker for $40.00.
4.) Bad ice maker solenoid valve. In the back lower right hand corner you have a dual solenoid valve. The smaller diameter tubing is your ice maker.
Substitution: 2188542 Cost: $67.00
Check the solenoid valve: Unplug the refrigerator. Disconnect the contacts on the green solenoid. Set you multi-meter to the lowest Ohms. You should get a reading across the two contacts of '0' if the solenoid is good.