Great pics, they really helped.
I conducted some research on the web and found two documents related to the Magnetek 6300 series power converters. And yes, that power converter has the relay on it I was talking about.
Additionally, I believe Parallax acquired Magnetek and now uses the Parallax name. From what I can find, the 6300 series has been discontinued.
See these two PDFs in our resources area.
The owner's manual explains how the system operates.
Magnetek 6300 series power converter manual
A technical document containing wiring schematics for the 67300 series power converters.
Magnetek/Parallax Wiring and Tech info
Reading the wiring diagram on page 8 of the technical document in PDF format, I can see how the converter system works. However, I cannot find any information on how the fuse block system is wired. However, I may be able to identify your problem or suggest a place to troubleshoot further.
This older system begins with a simple AC-to-DC four-diode rectifier, accompanied by a pull-up capacitor, to produce rectified 12 V DC when shore power is plugged in. This is by no means filtered 12 VDC, but it works for lights and motors. The relay coil energizes instantly, closing the normally open contact when the rectified 12 VDC is generated by the shore power. The relay normally closed contacts, then disconnects the battery's 12 VDC from the fuses of the lights and motors. The relay normally open contacts close, and then direct the rectified 12 VDC to run the lights and motors.
The problem appears/ points to be that the relay is not switching the battery power back to the lights and motors' fuse block when the shore power drops out. The fridge, lights, and motors should be powered by the battery when the shore power drops out, and when the normally closed relay contacts are functioning correctly. You are stating that this is not the case if I understood you correctly. It may be that the relay contacts are burnt/welded closed, which is why when you plug into shore power, the contacts pass power to the lights, etc. If the contacts are welded closed and cannot drop back to the normal state, then the battery power will never power up the fuse board.
Take a look and test to see if the relay contacts are actually opening and closing. The relay may just be bad.
Those three spare fuses, which are not wired to anything, I believe, provide "battery filtered" clean 12 VDC power that can be used for sensitive 12 VDC applications. And since there was really no need for clean power in 1994, Sunline never wired anything to them.
Those old Magnetek battery chargers were not the best; however, they do sell a good power converter replacement made by Progressive Dynamics that eliminates the relay and is a perfect replacement for a power converter. See here at BestConverted.com/
Upgrade Kits for Magnetek/Parallax
Best converter knows their stuff. I have bought several power converters from them to replace old ones. I myself just have not yet had to replace the Magnetek , but others on the forum have.
I hope this helps, and let us know how it goes.
John