Zenith 12H090 Console. HELP!

[jstout66]

Hello, I have a 1940's Zenith Am/Fm shortwave/ Phono combo I've had about 15 years. It's always been in my living-room, plugged in, and I've always fired it up on occasion. Now I have an odd problem. Recently, the radio (dial lights included) would turn off, just like if you had turned the radio off. The turntable portion still has power tho. It has gotten worse and now the radio won't come on. You give it power and the dial lights come on for about a few seconds and it shuts down. I tested ALL the tubes except the 7W7 which is one of those loctal's. The 6S8 had a few shorts. Would either of these tubes cause this problem??