The correct answer is A) the lights for a towing vessel and the lights for a vessel restricted in her ability to maneuver. This is because a vessel's tow severely restricts its ability to deviate from its course, which means it meets the definition of a vessel restricted in its ability to maneuver. The International Regulations for Preventing Collisions at Sea (COLREGS) require such a vessel to exhibit the lights prescribed for a vessel restricted in its ability to maneuver. Additionally, the towing vessel itself must exhibit the lights required for a towing vessel. Therefore, the correct answer is to display both sets of lights. The other options are incorrect because B) only shows the lights for a vessel restricted in its ability to maneuver, C) shows the lights for a vessel not under command instead of a vessel restricted in its ability to maneuver, and D) only shows the lights for the towing vessel, which does not fully comply with the COLREGS requirements.