I realize this was posted long ago, but for anybody coming to this post looking for an answer here we go:
To find out if you are a concurrent or stand-along licence ask yourself this. Did you install the program yourself, on a single-machine or did someone else install it and on multiple machines. If on a single machine it is stand-alone, else its concurrent (If your at work as your sys-admin).
Now as far as the extension goes open ArcGIS Administrator and click on "Availability". There you will see what extensions you have available. The extensions cost $$$ so if you didn't buy them you don't have them! Usually the ArcGIS trials come with all of the extensions so check that. Again, if you are at work check with your sys-admin about licencing.
Good luck all,