When you press the fire button does the third relay engage? Also with power removed check the continuity across the fire cam microswitch terminals. It should change when the lever is depressed and released.
Yes, the third relay does engage because I can hear and see the contact block move back and fourth. As for the "Fire" microswitch, with power removed and I put my test leads across the top and bottom terminals and toggle the switch with a screw driver, nothing happens. When I go across the middle and top terminals and toggle the switch, when I push up there is continuity, when I release it there is not.
I should also mention that before I installed the transformer you sent me, there was a red wire slightly larger than all the others soldered to the right side of the top fuse, and I traced it up and it went to the #10 terminal under the "Fire" relay. After looking at the wiring diagram, and previous pictures from this post, I thought there was no longer a need for that wire, as it appeared to serve as a bypass since the transformer was removed. I tested the timer on 120 volts before I installed the transformer and it worked fine, but I did not test it with the RC-6A circuit hooked up at the time. I removed that wire from both the fuse and the #10 terminal on the relay and soldered on one of the two red wires coming from the secondary to the right side of the top fuse. The other red wire coming from the secondary is screwed into #14 slot on the smaller terminal block. So maybe I do need that wire after all because it completes the "Fire" circuit?