If I read your latest picture correctly, one of the polyester capacitors (top right corner) is shorted! Not really surprising given the age and the temperature in that corner. That could be your fault right there. I'd suggest replacing both of them as a first step. They're fondly known as Philips 'Licorice All-sorts' capacitors. If I read them correctly, they are 100nF 10% (brown black, yellow, white). i can't see the bottom colour (voltage rating) in any of the pictures, this will be either brown (100V), Red (250V) or yellow (400V). It might be worth replacing them with polypropylene types for better ruggedness.
Edit: If you still get zero ohms across the PCB pads then it could be that the TO5 pkg transistor is shorted, but my bet would be on the capacitor itself.