All of the required actions seem to work. The issue is that the Ball Count Unit resets but does not go to Ball 1. I think that it might be the "A" relay. This relay and the "A" Reset relay are both not energizer before the start button is depressed. When started, the "A" tries to pull in but just chatters and doesn't move enough to lock with the reset armature. (Bad coil?)
The Operating Instructions discuss this but the question is the state of the A relay before the star sequence is started. All six contacts are opposite in the schematic to what is actually the state when power is off. The switch that feeds the Add Ball Count Unit shows closed but is open with no power. I think my confusion is how both of the "A" relays interact and the "A" coil..