There was already a fix for this problem here:
http://www.subsim.com/radioroom//showthread.php?t=99608, but it didn't work for me, so I've made another one.
The problem looks like this:
What I've done to fix it: I've copied a 3d model from another head (02) to POS_Head04.dat, and an appropriate .tga also (changed the color of hair to make it different from Head02).
I don't know who is the author of those heads - are those from stock sh3 or GWX? Anyway, I've taken them from a GWX installation.
Download here:
link (JSGME ready)
------- update --------
It looks like there was already a working fix for this problem made by Anvart. You can download it here:
link