Bad Power relay circuit, or auto-shut-down,or whatever Honda calls it.Loss of power during run, causes fuel pump to quit,then engine. But pump works in crank mode.
Try swapping relays, they dont last forever. Not even on Hondas. Look in the power distribution center. I think its underhood,on the passenger side, up near the windshield. There should be 3 or 4 in there.One of them has got to get you back on line. Borrow the power window one, cause we know it works.
Bear in mind the problem could be upstream of the relay;some place between it and the battery.