The Fine Things are Always Hand Made
The set won't do anything without an antenna. For FM, a basic dipole should get local stations. A single wire will get stuff on AM. If you've tried with antennas connected, it may require some technical troubleshooting.
Well, what I'd try next is a signal generator, set it to a good AM frequency and see if you can push a strong signal through the set.
In most cases resistors being out of spec won't leave a radio dead silent unless they are setting a tube bias, like a cathode resistor, and they are off quite a bit. You can check the tube voltages and see what you have there. Definitely replace the remaining paper capacitors. Without a signal generator to inject a signal and isolate a stage it will be a bit harder to troubleshoot. Check the band change switch for proper contact and operation. Your eye tube won't operate unless you have a signal passing thru and the AGC is working.
I am not familiar with the 16A operation and not sure if it is supposed to switch off in other modes, like phono. But it will stay open if it is not getting a signal to it's grid.
Not sure if you know, but if you go to the top of this page, in the upper far right there is a link titled "Archive". If you click on that it takes you to archived EH Scott literature. Go down to "set folders" and you can get the service info on the 16A in the appropriate folder.