Ohming out your connecting is testin the continuity of the circuit. There should be a setting on your digital multimeter that will beep when you touch the two leads together. This will help you "ohm" or " ring" a circuit.
What you are describing sounds like a problem with the return line in the switch matrix for that group. All of the switches you described share the same return. Like you said, you would think at least one of the switches is working but if your return is missing you will not get any of the coin door switches to work. I beleive the rerun line for that set is A6J6-6. Check wire six on J6. I think its a black with two blue stripes. Code 066??? Not exactly sure on that though.
Either way I would suspect a problem with that return.