Your probably going to have to pull the terminals out of the plastic socket trace them back to the switch and leds then hook them up individually.
The 2 power switch wires are not polarity sensitive and go to the PWR +/- pins, the power led(PWR_LED +/-) is polarity sensitive it will only light up if hooked up correctly, however hooking it up wrong will not hurt anything so try it one way if inop swap the wires, There may not be a case speaker if there is there are 2 wires polarity doesn't matter.
What else do the wires run to? Is there a reset switch?