UV Unwrapping Woes - Extra Faces? I'm new to 3D modeling and especially to getting my UVs unwrapped.  Currently, as seen in the screenshot below, I appear to have a whole slew of faces (54, I believe) that cannot be seen, nor do I want them to be seen.  I'd like to get rid of those faces, but I can't seem to find them to select - as if they were inside the geometry.  Is there are easy way (or heck, a complicated way) to find and remove these faces?

I'm also not sure what those long triangles are that are on the front and rear surface of the coin. The edges are uneven purposefully - the edges were extruded some to give it a very uneven feel.  When I select a face on the UV window, no part of it looks particularly strange.



EDIT:  

Issue area:


The shape changed, but now I have these two rings (I have them lying atop one another currently while I was trying to figure it out) that don't seem to be visible faces, but increase the face count by more than double.  I believe I should have 34 total faces.  So this and trying to figure out why my UV unwrapping doesn't seem to go into the export file.  Oy!
First of all lets start by pointing out what's not ok with your mesh.




It seems that you have there not one coin but three of them. As pointed by @Matt you can select loose parts by hovering over them and pressing L. Remove both of them.
After deleting them Select All (A) then W > Remove Doubles.
If you want to select UV Island in UV Image Editor and see it in 3D view as well, you need to check Keep UV and Edit Mode selection in sync option (marked on the screenshot). Remember to be in Face Select mode if you want to use Island Selection (L).





Consider filling top and bottom faces with Triangle Fan or Grid Fill (based on mesh purpose) as ngons could not be the best choice for texturing.





At the end don't forget to Recalculate Normals > Ctrl+N.


Blend file: