Both a mustache or goatee could easily be hidden with a mat pose, or even morphs, (morphs as long as the mesh is not attached to the head itself). mat poses also work as well.

I'd make the eyelashes larger, and then morph them down to the current size, to reduce distortion if they are used larger. Sideburns might also be interesting. here is a head proportion reference image:

Way too many people take way too many things way too seriously.