Stax Headphones behave essentially like a capacitor. DC resistance is probably multiple Mega Ohm. Assuming you stay within the current (and voltage) driving capabilities of the amp, things should get complex, but I wouldn't expect a change even remotely as large as you postulate.
That's accurate at least within the measuring accuracy you're going to get with an off the shelf multimeter.
As above, if the combined capacity (etc.) stays well within the capabilities of the amps, I wouldn't expect much of a change.
There are probes with a U shaped hook at the end. If you find one that allows you to bend that hook into a shape that wraps around the pins of the plug, that would probably be ideal. You'd still have to make sure that the probe doesn't cause any shorts, so just measure on the second socket if possible.