Okay, well the problem is that your UVs for the thin bevel faces didn't get laid out properly. You could either sew those UVs up by hand or redo the UV mapping on the head. It seems to be fine for...

Since it's based on a tutorial, perhaps you could zip your ma file and upload it? Someone could take a look at it that way.

What does the texture over the uvs look like? Looks like the texture isn't quite covering the faces.