1st glitch: When in the beauty salon, if you check the box to "show helmet" the hat shows up for a few seconds then dissapears. Won't stay on.
2nd glitch: When toggeling the "Cape" setting, the blouse dissappears for a moment, leaves the strings on the stomach and a faint ghost-like blouse takes it's place. Not sure if that's intentional or a mock version of the blouse was left accidently. It just kind of acts like the helmet glitch (choppy transition).
I am having the same problem and it is aggravating. The Corsair needs her hat!