I'm wondering whether 10a isn't Richard III (the Third), but don't follow the car park business either.
What do you have for 9d: LIE LOW ? How do Archer & Daisy fit in?
3d I can explain: EXHORTS (ho & rt cutting anag of sex)
Anyone else better ideas for 10a?
Clue is: "Royal turfed out of long-term car park space" (7,3)