Question:- May stakes defining a water hazard or lateral water hazard be moved?
A water hazard stake is an obstruction - see Definition of "Obstruction".
Consequently, if such a stake is moveable, it may be removed, without penalty, in accordance with Rule 24-1.
A player may remove a movable obstruction anywhere on the course, irrespective of whether the ball lies in a hazard or not.
May a stake defining Out of Bounds be moved?
Answer: - No
Under Definition of "Obstruction" an object (i.e. a stake) defining out of bounds is not an obstruction therefore you can not obtain relief.