The COM, NO and NC connection names refer to the first picture in post #3.
The pictures in posts #8 and #15 don't show the A, B and C markings. They are shown in the auction page you linked to in post #12 but I don't see anything on that page that says what A, B and C refer to. So I can't tell you which letters to use.
But you need to use two pins on each output. One of those pins needs to connect to +12V and the other pin needs to connect to the positive wire of a strip light, with the negative wire of the strip light connected to 0V (the negative terminal of the power source). If you do that, you shouldn't have any problems with shorting out and sparking.
If you can take a closeup of the underside of the board, with the tracks clearly visible, I may be able to tell you which letters (two letters from A, B and C) you should use.