ROBB de oxit is great stuff, get it off ebay much less expensive than in Rat Shack.
Use regular notebook paper to clean the contacts on those old relays then de oxit to take the oxidation off, then back to paper again.
Tarn X works great on those old tank coils if they are silver plated.
DO NOT USE TARN X on any electrical contact. Don't ask me to explain just don't use it on anything electrical.
Deep Woods of removes stains like crazy. It even removes permanent marker.
Great for cleaning up inside the chassis case.
The band switch needs looked at with magnifying glass. Make sure all contacts clean and make a good physical connection.
Look at the tank coil soldered connections. Over time they can become brittle and make poor connections.
The SWAN has a pretty good dependable reputation but as BJ said start at the front and work your way through every circuit replacing repairing all you find wrong.
As far as tubes?: once you get to the point where you can turn the amp on, let those tubes sit and burn just the filament on for 10 hours or more, NO B+ you may have to unsolder some wires from the TR to the rectifier for this one but let it sit and burn in.
then reconnect the B+ and read how to getter 3-500Z tubes.
http://www.eham.net/ehamforum/smf/index.php/topic,72672.0.html
Fun project just no tuned input, not a problem if you have an old boat anchor for a rig.