The movie was supposed to be one-third on the boat, and two-thirds in New York, but budgetary concerns caused the studio to force the director to reverse the ratio.
Likewise, scenes at the Brooklyn Bridge, the Statue of Liberty, and Madison Square Garden were scripted, but never filmed for the same reason. The only recognizable New York site Jason appears at (and the only one shot on location) is Times Square, with most of the city scenes shot instead in budget-friendly Vancouver. Even then, failing to truly live up to its own big selling point is far from the only reason this film has its reputation for suffering a bad case of Sequelitis.
Franchise Killer: Paramount sold the rights to the franchise to New Line Cinema after this film's failure, marking the end of their involvement with the series until they handled the international distribution on the 2009 remake. There was also a four-year hiatus between this film and the next, the longest in the franchise's history up to that point (even if the record would very quickly be snapped).
The producers originally wanted Ken Kirzinger to play Jason, as they didn't want to bother with the trouble of getting Kane Hodder a Canadian work permit (most of the film was shot in Vancouver). However, director Rob Hedden dug his heels in and demanded that they bring Hodder back. Kirzinger therefore got the consolation prize of getting to play the chef who Jason throws into a mirror in NYC, and a much bigger prize years later.
Tamara's death scene was originally supposed to be a homage to Psycho, with Jason repeatedly stabbing her in the shower with a piece of broken mirror. This was changed due after the film-makers became worried that the MPAA would force the scene to be deleted, with Jason instead shoving her into the mirror and then stabbing her off-screen.
Miles was supposed to have had a background as a champion high-diver, making his death a rather poetic one.
Jason was supposed to dissolve and die after falling into the toxic waste.