In right,profile, eyebrow won't budge!

There are a few things about the puppet.

• The earring origin is not set correctly - it is out in space. I dragged that to the top of the earring.
• The Right Blink layer is not in the eye layer - that seemed surprising, but not sure if this was on purpose.
• The hierarchy of the puppet shows Right Eye has a child Right Pupil (good), but Right Pupil also has a child Right Eyeball. This is unusual - they are normally siblings.
• Your head is not independent (which is fine) so I cranked "Head Position Strength" up to 200% and the head semed to move around a lot more freely.
• You might want to go through all the Hair segments - I found dangles off the puppet which can cause problems. The dangles need to be over the top of the artwork.
• Some of the hair layers are not overlapping. This makes CH give up working out a proper contour. Some of your hair layers for example have strands of hair off else where. Make sure there are no strays like this. This causes rectangles on the mesh icon, which results in less natural movement.s
   
• Once you have had a go at cleaning up, if its still not good feel free to come back and ask more questions. But fixing these sorts of issues would be step #1 for me.