How many ports it has for the device shouldn't matter. Unless the dual port (input/output) isn't functioning as it should. Which happens. Cheaper version will give issues. It should show both the headphones and the mic (even though they are in one device) in the "Sounds" however, since it doesn't, either the port is the issue or the quality of the headset is. Either way, there is no way to make it show correctly (as two components) then if not listed at all no matter what is checked.
You could possibly try using a 3.5mm to USB adapter and see if that will allow it to show both, but if not, then there would be no way around it with that headset.