More Electrical Help ...

:BangHead::BangHead::BangHead:
Yes you have a real puzzle here. We're still finding the clues.

Tell me if I summarize this correctly:
* Never had working parking lights, headlights, instrument lights. Correct.
* Ignition switch has power to it at all time (J1). Correct.

OK


with Key in Run

* Accessory (Q2) circuit gets power. No.

I'm confused on this one. I thought it might have because
Battery voltage is 12.5VDC which is what I have at the the ignition switch at J-1 and Q-2...using a multimeter...
* Ignition Run circuit (J2) does not get power. Only when key is off

OK. That's good. So J2 gets power when the key is in run.

* Fuel gage shows nothing, while Temperature gage shows maximum. Used to but now nothing...
Latest is that I returned the ammeter wires per factory dwg. Connected the brake light sw (which was not connected) turned key to run and the power returned to the dash - radio worked and water temp maxed out - nothing from ammeter or fuel gauge...

This is seems like another good clue. IIRC the wire to the brake light switch on the pedal is always hot but it is fused. What your '62 may share on that line I'll have to look.

I then turned the key to start, heard a click (I believe from the starter relay) and all went dead again. Now no power to S2 or R3...:BangHead::BangHead::BangHead:
I agree. Probably you heard the relay click.
S2 should only have power when the key is in start. Otherwise it shpould be dead.
R3 would only show system voltage if the key is in run, and the voltage regulator is allowing current directly through it.