An LPR is required to present an I-551 (Green Card) for reentry into the U.S. If you are not a U.S. citizen or a U.S. LPR, you will need a passport and/or the appropriate documentation based on the status you are seeking in the U.S. for any type of cruise, closed loop or not.
The Picard Maneuver is a battle tactic invented by Starfleet Captain Jean-Luc Picard. In 2355, Picard was in command of the USS Stargazer when it was attacked by an unknown alien vessel, later determined to be of Ferengi origin.
Following the loss of the Enterprise at Veridian III, Picard won command of the ship's next namesake, one of the new Sovereign class, in 2372 on SD 49827.5. While Lt. Cmdr. Worf chose to be the exception, Picard's entire senior staff and many junior officers made the transfer with their captain.