How do i remove the face from the ice and water dispense cover from a ge refrigerator?

SOURCE: how to repair the ice dispenser door on a whirlpool refrigerator

If you will look on the bottom of the dispenser cover you will see 2 notches on the left and right side. carefully pry the cover off using a flat tip screw driver. then you will see a white switch plate that is either held on with latches or 2 srews depending on model. once this is removed you will gain access to the dispenser door. 
once you gain access I think you will find the hinges for the dispenser door are broken off. if so you will need a dispenser door repair kit form whirlpool part # 8201756 this kit includes new door and hinge repair kit. this is something you can do yourself if you are pateint and pay lose attention to detail. otherwise I would recomend a god servie company. thanks for using FixYa Peyton

SOURCE: water dispenser on front of refrigerator door does not dispense water. Ice Cube maker continues to make ice cubes. Defrosting doesn't fix problem.

Water dispensing solenoid is bad. You need to replace the solenoid valve. This typically is independent of the ice maker.

SOURCE: GE Profile Refrigerator Ice/Water dispenser not working

Had the same problem. Pressed button heard a click, saw zeroes flash, then nothing. After some online search I found and solved the problem. Corrosion and condensation on the connector plug attached to the wire at the bottom of the freezer door. Remove plastic grill, pull out wire from under box. You'll find a plastic connector and possibly wet or corroded wiring. CUT POWER TO FRIDGE OFF FIRST. I cut away the white plastic connector then stripped and tied the wires together with wire caps. Taped them up too. Note which wire goes to which first. Mine was blue to blue, black to black, and red to white. Problem solved.