Funny, in a Keithley 237 unit I also had a 15k resistor fail. I don't remember if it was for the positive or negative rail. In my case, the resistor failed open. So either the resistors they used were not very reliable, or overstressed.
I imagine that the resistor failed first, and the decreased resistance increased the current through the zener, killing it.
I'm worried that the -15V rail was pulled down to -150V through R73. So I would be worried that everything connected to that rail could be blown. I would test by desoldering R73 and connecting a 15V bench supply across the -15V rail (watch polarity!). The unit should then be operational. Then test the various ranges, positive and negative output voltages / currents.
I don't remember how the mains voltage selection works in this unit, but I would expect the resistance of the switch to be < 1 Ohm when the contacts are closed. So that switch sounds suspicious to me. Try cycling it a couple of times, and measuring it again.