Thanks Christian-
The resistance in the Coil 0RL1 was only 2 Ohms. No question, it was fried. I tried to disassemble it in hopes of rewinding the thing, but when I tried to bend the end of the rod straight to remove the plunger, it snapped right off. The plastic was melted and it was impossible to unwind. So it had been under high current for at least two or three records.
I looked the rest of the circuit over and it seemed to be okay. R56 (the one that comes off of the collector of TR16) did get so hot as to turn the yellow color band black... And it was out-of-spec so I replaced it with a 47 Ohm 1 watt resistor.
So I've got it all working again. Switch is engaged and coil stays cool. I've let it run a couple of hours just to make sure.
Now I need to figure out how to get a replacement solenoid for my second deck. I thought about 3D printing a new spool and winding a new one, but I managed to break the end off of the plunger.rod which sort of scuttled that idea.
I'm sort of surprised that nobody has found an "off-the-shelf" version that could be adapted for this. Most of the ones I can find have a resistance of 20 Ohm (not 10) . I would need to match the throw distance, and the required current for initializing and holding and figure out how to mount it in the bracket.