Which switch is which?

LOL. Well, you may have destroyed the switch if you connected neutral to both outside terminals

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So clearly, Power (hot) comes in on the left and goes out to the motor on the center and the neon lamp+resistor needs neutral (white) on the right. So, there should be 3 wires to the switch. Yellow=Left, Black= center, White=right.
Unfortunately the data sheet does not show this detail, perhaps assuming it's obvious.
https://www.carlingtech.com/sites/default/files/documents/LRA-Series_Details_&_COS_0.pdf
 
So, I will buy a DPST switch, witch I hope has a proper wiring diagram, so that I can solve the popping/no light switch problem.
If you choose an illuminated DPST switch with faston 4.8 or 6.3 mm you can wire both incoming L and N mains wiring (white and yellow) directly to the switch. Then the black one and a new piece white or red cable (to the red wire of the motor) from the switch to the circuit. Makes it easier and more service friendly I think. As a bonus the neon lamp will work as it normally is wired internally in a DPST type.

Arcotronics and Marquardt make good ones.
 
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