Water will not drain. I do not hear the drain pump run. It washes and sprays the dishes which indicates to me some kind of pump is producing pressure. Could this be an electrical circuit or a relay not switching pump to drain? Is there a repair manual or diagrams available for this model?
The first thing I would do is check the drain hose from the one end to another and the air gap on top of the sink (if there is one).
Here are the break down diagrams and Replacement parts for GE PDW7880J10SS | AppliancePartsPros.com
Gene.