For the K4 fit, you have to use the Prop hair, then use the Translate to position it on K4.

Here, I've used Style 07 after using translate to move the hair into position.  I also used the "Baby Fit" morph to get it a bit more round.

on edit:

Ooops, there IS a fit morph in the Pose folder for K4, but you have to use the Prop hair for it to work.