Stand (Up) and Deliver - S1-E17
Visible crew/equipment: When Brenda is talking with Michael Miller, you can see a microphone come into the top of the frame.
Perfect Mom - S1-E7
Continuity mistake: In this episode we are (at the fashion show) introduced to Donna's mother for The First Time. She is called on stage as Nancy Martin. In all further episodes she is known as Felice Martin.
Visible crew/equipment: When the scene changes to Brandon, Brenda and Dylan going to the movies, look closely. You will notice Brenda waiting for Dylan in front of the movie theater. Then later, they show the exact same scene when she is waiting for Dylan to show up on their movie date. It's very quick, but the editors apparently didn't catch it.
Class of Beverly Hills - S1-E1
Factual error: In this debut episode of the show, Andrea takes a bus home to "Van Nuys." After showing the bus heading to the valley on the 405 freeway, as she exits the bus, the street sign states "Gramercy Pl" which is in L.A. (not Van Nuys or the San Fernando Valley where she is supposed to be in). In addition, her house shows 548 to be the address. All addresses in Van Nuys are either four or five digits.
Visible crew/equipment: In the hotel room with Brenda and Dylan, right before he picks her up and puts her over his shoulder there's a mic drop in the top right corner.
Continuity mistake: In season 1 episode 12 while playing ouija board Brenda says she "doesn't know any dead people", but in this episode it's revealed that her aunt died 2 years ago from cancer.
Perfect Mom - S1-E7
Continuity mistake: When Jackie walks out and Cindy walks in, she closes the door behind her. However, despite the door being closed, Brenda walks in. (00:36:05)
Stand (Up) and Deliver - S1-E17
Character mistake: In one scene Brenda refers to Brandon's political opponent as "Michael Miller" but a few scenes later David refers to the same guy as "Robert." He's referred to as Robert for the remainder of the episode.
One on One - S1-E5
Continuity mistake: They say it's October, but it was November in the previous episode.
Answer: There was no explanation. Usually, when a show doesn't know if it's going to be picked up or not, they will use stock footage until they can spend the money on a real location.
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