[Mondial]

I think Brenda is correct. It appears that you have the IF tuned to 580 kHz, which is why you hear the station regardless of where the dial is tuned. The IF trimmers (compensators) have a lot of range so it is possible that they could be tuned to 580 if they are loosened considerably.

I have a feeling your oscillator is still not working, otherwise you would be hearing all sorts of squeals as you tuned across the dial while listening to the 580 station.

Resistor 24 will get hot as it is a dropping resistor for the screen grid supply of the 6A7 and 78 tubes. You should read around 250V on one end and about 100V to 120V on the other when measured to chassis ground. If you see these voltages then it is normal and not overheating.