I have a Kenmore side by side refrigerator model 363.9532710 that has an ice maker model WR30X0290. After the initial water fill, the solenoid cycles again and again for a few seconds each time overfilling the ice tray. I have replaced the water supply solenoid but still have the same problem. Also, there has been a lot of ice buildup at the rear end of the auger in the ice bin.

Sounds like icemaker is bad... some of the ge have a water adj on the ice maker and with the part number you gave it's a ge made for kenmore...