I used a highly technical approach of deleting stuff while it kept failing until tracking down the problem. I found one issue, which might be a repeat of others. So sharing that quickly in case it helps you move forwards.
Here is a screen shot after deleting the body, various profiles etc. I turned the mesh on in the scene playback window. You can see when I move the head around, it warps strangely?
Default pose (Left Quarter profile)

Moved head. See how near eye it has distorted?

That helped to locate one problem. You have the Head tag on both the Head layer and the Left Quartile layer. Removing the tag from the Left Quartile layer fixed this problem. I think because both where tagged, that one point was being moved twice as far as everything else, causing warping.

I can try and look more later tonight after work etc, but thought I would share using the mesh during playback to spot the source of distortion, then you can look at things like these extra or wrong tags on layers near the sources of distortions.