wow, that’s really odd, I’ve never seen it do that before. There must be a glitch in the way blender understands your model. What you have is an odd kind of Normals problem. The faces in your microphone and ear-piece are pointing INWARDS instead of outwards. For the mouthpiece (I think, anyway, it’s the purple and red bit) you can just select all your faces and press CTRL+N.
For the ear-piece, this doesn’t work immediately, for some reason, so to clear out any problems caused by vertices being too close together/overlapping, select all the vertices in the ear-piece and use Remove Doubles (press W to bring up the menu, then just pick the command from there), then convert your mesh to quads (alt+J), then add your two edge-loops back to the outside of the model (to sharpen the edges), THEN press ctrl+N and your problem should be fixed.
EDIT: I’m not sure what’s going on with the armatures, what are the empties there for? You shouldn’t need them, from what I can see.