Other mistake: When the cut scene goes to Star Trek The Next Generation, all of the rank pips on the crew's collars can be seen on their left side. All Starfleet rank insignia, with the exception of Admirals in this series, is situated on the right side. (00:18:45)
Other mistake: When Peter tells Brian that "James Woods is being taken care of by top men" they show a philips head screw being hammered into the wooden crate in the warehouse. (00:20:15)
Continuity mistake: The buttons on Peter's white shirt switch between the left side and right side, between shots, such as when he tries to play frisbee with James, or when Peter is late for dinner with James.
Chosen answer: It's a real song called "Elvira". Originally by Dallas Fraizer in '66, however, this version seems to be the Oak Ridge Boys cover version. However, the mega lesbians skip the verse and just sing the chorus after the opening line.
Bishop73