Cruise News Briefing - March 5, 2021. Cruise lines look to homeport in Cozumel as the U.S. continues to stall the restart of cruising. Princess Cruises and Holland America Line are trying to help save the Alaska 2021 summer season in a never seen before way. Cunard Line is running a sweepstake in celebration of the HBO movie “Let Them All Talk.” Cruise line stocks were down across the board for CCL, NCLH, and RCL.