Sorry for the late reply, but I got it all fixed up. It turned out to be a shorted defrost thermostat. This also caused the heater to melt the plastic housing on either end of the glass tube. It still had continuity through the heater after I removed it. However, it got so hot that I could not even remove the wires from the heater without cutting them off. Every time it was going into defrost, the heater was staying on all the time. The thermostat was never opening up to stop the defrost causing ice to melt and drip down and then freez causing the icicles in the freezer.
I went ahead and replaced the thermistor while I was in there since it is such an inexpensive part. It has been over a week now and everything is back to normal and good ice production.
The people do not keep that much in their freezer, so there was no complaint of defrosted food. I just assumed water leaking from the ice maker. Lesson learned.
Thanks for all the help.