Well without knowing the actual device (make/model) there is no way for me to look up the specs. However here is some info that should help.
Have you checked to make sure the mic works on a different device? If not, then try that first before the following.
If there are two jacks (one input/mic and one output/headphone/speaker) then the headphones should work in the correct port, but the mic won't work if it is a single plug on the headset/mic.
If there is one port, it is going to be either ...
a. Output only (meaning only headphones/speakers work in it) or...
b. A combo one, input/output, which should allow for headsets with mics. However, they don't always work the way they should.
If it is output only, then you can't use a mic in it. If it is a combo one, then, as I said above, they don't always work so well.
A way to resolve this is to get a 3.5mm to USB adapter (they are really cheap) and connect through the USB port, which would allow for both headphones and mic.