Revealing mistake: The scene with one of the girls in the Pi house undressing on the TV was filmed with a handheld camera. Lewis tells Lamar to pan the scene right which it does. Cut to the scene of the woman undressing and the scene is shaking, like someone is holding the camera. These should be stationary shots. We even see the camera that is filming the shot and it's strapped down with a periscope.

Revenge of the Nerds (1984)
1 revealing mistake - chronological order
Directed by: Jeff Kanew
Starring: Anthony Edwards, Robert Carradine, Timothy Busfield, Andrew Cassese
Continuity mistake: In the shot after Gilbert is dipped and gets soaked in the fountain by the Alpha-Betas, when he is up on the podium, you notice that he is almost dry, only his head is wet. (01:21:25 - 01:23:00)
Takashi: I think I have a frush.
Booger: What the fuck is a frush?
Trivia: When the Tri-lambs are watching the Pis on television, Pointdexter ejaculates in his pants which causes a fit of laughter. The laughter is coming from director Jeff Kanew.
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Answer: First, Lewis and Betty are not "having sex" - he is raping her, and the writer and director later described it as "not excusable" (https://decider.com/2019/07/26/revenge-of-the-nerds-rape-scene-regret/). Second, the song you hear is "Right Time for Love" by Jill Michaels and Pat Robinson. It was not written for the film.