Yes.
No. The tree is a movable obstruction (not an immovable).
No. The tree is not an obstruction.
No. You can always ask for the flagstick to be attended, no matter where the ball lies.
No. You can always ask for the flagstick to be attended, no matter where the ball lies, but only if you putt the ball (not e.g. when chipping).
Yes.
As a starting point it is one penalty stroke in both match play and stroke play.
As a starting point it is two penalty strokes in both match play and stroke play.
As a starting point it is two penalty strokes in stroke play and lost hole in match play.
Yes.
No.
No.
Yes, one stroke.
Yes, two strokes in stroke play (lost hole in match play).
Yes, you incur a two stroke penalty (stroke to a wrong ball). The stroke counts, and thus you have played three strokes - and must play on with that ball.
Yes, you incur a two stroke penalty (stroke to a wrong ball), but the stroke does not count, and thus you have played two strokes.
Yes, you incur a one stroke penalty (stroke to a wrong ball), but the stroke does not count, and thus you have played one stroke.
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