1. In Search & Rescue leave the candy wrappers on the floor for Kate to follow you then tell her that the Nurse is in the supply closet. Make sure you have 5 STR to open the door.
2. in Twisted Fate: when Kate asks you if you're perving on the cheerleaders again, say that you were leaving or you must have 8 STR to fight the cheerleaders to escape.
3. in Wicked Game: dress as a ghost, instead of getting inside the box. When Kate asks her sins, answer "your fears..." get Kate's papaya scene for this.
4. in Dead Girl's Score: as Lindsey praises you for playing the piano, play something fast but dark. Suddenly Kate will show up and play another song to show her how it's done
5. in Twisted Desire: must have 9 INT. When Kate asks to see the golden star, let her take it from you, then call Isabelle as a witness that you did get the star.
That's what I've found.