When I press my cup against the button to dispense ice, everything works fine except the little flap doesn't open to dispense the ice; it just fills up in the door area where the ice is dispensed. I looked up in the opening from the outside of the door and to me it looked like some kind of arm or level might have been missing from the flap. Again, the ice is being dispensed just fine, except the flap doesn't open and the ice just backs up in the door.

SOURCE: GE Profile Refrigerator will not dispense ice.

see http://applianceguru.com/view_topic.php?id=13243&forum_id=1&jump_to=76889

SOURCE: LG LFX29560 Ice Dispenser

You may need a service call as the ice dispenser flap is operated by a solenoid which is controlled by a small pwb board which is located by the dispenser.

Sgt 48

SOURCE: Ice and Water not dispensing. Light button not working

http://www.repairclinic.com/0100_1.asp
There's an ice- or water-dispensing problem The ice and water-dispensing system of your refrigerator is quite complex. Many components work together to provide the ice and water. Aside from a simple problem of a leaky water tube or a jammed ice chute, most other components are not user serviceable. We suggest that you contact a qualified appliance repair technician for such repairs.

SOURCE: the flap on my water

check closely the flap. see if the spring pulling it to close shut is still ok. check the seal of the flap. that seal should not be broke or chipping. it should seal tight to the plastic where it is seating.

if there is even a small opening, frost would accumulate because of the air coming in from the damage flap. this frost would accumulate until the flap itself would no longer seal the opening.

tnx 4 uisng fixya,

drcool

SOURCE: GE ice dispenser door hangs down

You should replace the dispensor solenoid and plunger due to rust . Very common problem with G.E.