Questions about the game-play of Cluedo
Case 1: No, you must stop movement upon entering a room.


  Rules for Moving - If you enter a Room, STOP MOVING.


Case 2: Yes, the pool is a room. Someone contacted the designer, Rob Daviau, and he confirmed this. He also notes that using this power only happens during the move phase instead of rolling. (I.e. You cannot start a rumor in another room, then warp to the Pool to make an accusation.)


  Q. The Pool (1) Is the pool a room?
  
  A: Yes.
  
  Q: (2) Can this be used as a kind of "fast effect" anytime during her turn, or is it only applicable during her "move phase"?
  
  A: Only on her move phase, instead of rolling.


Case 3: The patio has 4 entrances. They start at the white steps which connect to the house and descend to ground level. No doors are printed on the board for this room, unlike older editions of Clue that actually write "DOOR" directly on the board. The Patio is based on the older edition's Ballroom and has a similar floor-plan. (The whole house does actually, albeit rotated 90 degrees in the linked image)