The correct answer is B) ship's route. During times of war, the Naval Control of Shipping Authorities may issue orders concerning the ship's route. This is because the naval authorities need to ensure the safe and efficient movement of merchant ships to support military operations and national security. They may direct ships to take specific routes to avoid areas of conflict, maximize convoy protection, or comply with naval control procedures. The other options, while potentially relevant, are not the primary focus of the naval authorities' orders in wartime.