What is the name of the system that levels the ship?

The Weapons Control Master Plane is the correct choice, as it refers to a system that is involved in stabilizing and leveling the ship during operations, particularly in relation to the weapon systems. This system plays a critical role in aligning the weapons platforms with the hull of the ship to ensure accurate targeting and firing solutions, especially when the ship is under motion due to sea conditions. The Master Plane works to compensate for the ship’s roll and pitch, enabling the weapon systems to maintain effectiveness despite the ship's movement.

While the other options may suggest stabilization or leveling, they do not specifically denote the system directly related to the weapon systems aboard a ship as the Weapons Control Master Plane does. Thus, this term appropriately captures the ship's need for balance and stability, which is integral to the functionality of naval weapons systems.