The gag about John Travolta being reduced to working as a bartender became dated very quickly, as Pulp Fiction (1994) was released two weeks after this episode aired, and is credited with rejuvenating Travolta's career and making him a bankable actor again.
Although often thought of as a parody of Jurassic Park (1993), the plot actually has more in common with the film Westworld (1973). Both films are works of author Michael Crichton, who wrote and directed Westworld, and wrote the novel Jurassic Park.
The reference at T.G.I. McScratchy's, where it's always New Year's Eve, is a reference to Walt Disney World's Pleasure Island. Starting in 1990 and running through 2005, Pleasure Island celebrated New Year every evening.