Definitely could use new Capacitors, anything that old could benefit from them as a start point. Then see what else it might need. I follow a young lady on Instagram who cleans up and repairs old amps for guitars. Her channel could help give you a bit of guidance. She is in Los Angeles. Odds are she would give you some tips if you interact with her a bit with direct questions about troubleshooting such a device. Odds are there are like-minded folks here that can follow along and give you troubleshooting and repair tips.
Create a thread and drop a link here...
Coleen Fazio is the vintage guitar amp repair person I mentioned...
Here's a snapshot of the Instagram info which cross-references her YouTube id and gives her Gmail address for inquires for appraisal and quotes for repair work. She has some interesting repair videos and I am on her YouTube channel as well. I also follow on YouTube a fellow in Australia who does circuit board repair work on old Macs and other devices with and devices, he has interesting work he shares and he has some interesting banter while doing repairs of boards recapping the boards is often a common repair to restore operating on many devices because capacitors simply do not have long life on any electronics. He does a blog or live feed if I watch it is often afterwards and I listen at a speed that compresses the time needed, boosting the sped to a level I can listen and still understand him and I only slow it down or really watch if it is something I hear that interests me. He works under magnification and uses video feed which zooms in to give him the close up to guide his actions repairing boards. The SMD components often are difficult to even read anymore for me without magnification and SMD board work requires specialized tools, some aren't too awful bad price wise, but it is something I am not geared up to do.
Old discrete components like you will be dealing with in that vintage clock and radio are much easier to troubleshoot. Visually some components will be possible to troubleshoot. But replacing capacitors with like values is definitely highly recommended. A lot of old electronics might have potting that will be removed with heat as it is a soft potting to prevent components from moving or shorting from movement and vibration, it often was wax based and if the equipment was stored in a very warm area that potting often gets melted and moves as a result. I've ran into that...
Some tubes are obtainable and some are not. Don't presume they are bad. A lot of tubes you run across are the tubes as that was a common repair stream. But audio tubes are still being made as are guitar amp tubes. Audio tubes can be very pricey as can be some amp tubes.
Nice thing is tubes are easy to test if you can read the tube printing you often can find the tube specs these days.
Coleen might give you some guidance or watching some of her YouTube videos can give you repair ideas...
