The new hairstyle is from Elize (the pirate with twin ponytail). You need to let her take over until her body proficiency is high enough and you get the hairstyle.
For the 5 points, you're missing the AoE version of Dark spell. To get it you need to defeat the Mindflayer guy as Celica.
You won't get it in one try. Though to make it easier, use the green spirit talisman so that Elize has more control over Celica and then let her take over for a while. If her control is high enough, you'll get new hairstyle when you get the body back.
