I agree there's a problem with the joints on that connector. I've seen this before on the end pins of long headers when vibration, and usually, high currents, are present. I haven't seen it before on a double-sided board though.
Is that wide connector where the secondaries from the transformer come in to the board?
As Greg says, the CRT heaters won't be doing anything; they're powered from the HV transformer, and (we think) the HV oscillator/driver is not running.
It could be useful to measure the 120V rail at the power supply with all the other boards disconnected, although running a power supply with no load at all can give misleading results. The best option is as Steve suggested, to measure the current coming out of the 120V rail.
You can measure this across the current sense resistor. I think it's R2 but it's hard to be sure. Follow the negative output from CR1 down and across. Where it goes under the three small transistors, there's a small series resistor - R2 I think, 6.8 ohms I think. Calculate the current through it by measuring the voltage across it and using Ohm's Law: I = V / R where I is the current, in amps; V is the voltage across it, in volts, and R is the resistance, in ohms.