[Radioroslyn]

Sounds like you've got a set that's an easy fix. Like you said the caps should bring it back to life again. With weak filter caps in the power supply what happens is it doesn't filter out all the ac ripple and the output voltage will be low. Thus the hum and not picking up many signals from low gain from the tubes not having enough voltage. Pretty safe bet it's going to need the phono cartridge replaced. If it's a crystal cartridge they absorb moisture over time and that ruins the crystals in the cartridge.
Terry