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.
Eventually Picard is able to find the two specific artifacts, which are actually ancient Vulcan artifacts. These artifacts are part of an ancient Vulcan telepathic weapon, the Stone of Gol, which a Vulcan isolationist movement hopes to use to force Vulcan to leave the United Federation of Planets. However, once the weapon is assembled, Picard realizes the true nature of it, once a powerful weapon, but utterly useless against people who don't bear aggressive thoughts.