Does the USA even build ships anymore?
Yes, but. The US has a good number of shipyards. However, companies go to Europe to have their cruise ships built because it's cheaper. Not to mention that there are likely a CRAP TON of government regulations that they'd have to follow before they'd even allow the hull to touch water. That's going to add a lot of expenses to the final cost.
We do. But mostly ships covered by the Jones Act that says
cargo or passengers carried between US ports must be on American built and American crewed ships. So there is one US Flag ship cruising the Hawaiian Island.
Years ago I worked as an Able-Bodied Seaman and Third Officer on the USS Independence which cruised the Hawaiian Islands with its sister ship, the Constitution. Both were built in the 1950’s in the US. They carried about 750 passengers.
Yes but not many. The Jones Act requires that ships used for trade between one U.S. port and another be built in the U.S.