Need more info:
Does the pump run when it is supposed to be draining?
If it runs, is it spraying water out the spray arms?
When in wash , does it spray water out the spray arms?
Note: That getting tech info on a GE is a pain as they like to keep it a secret.
Upon further review, I detached the hose from the garbage disposal, rigged up a fitting with a quick release valve and attached it to my air compressor. A shot of 50 psi later through the drain hose, a wet paper towel was stuck to the top of the washer.