Brenda walks in holding the red pack of cigarettes out in the open before dropping it in front of her parents. It was clearly visible before it was accidentally dropped in the open revealing she's been smoking.
Brooke Langton, who later starred in spin-off Melrose Place, shows up in this episode as a side character.
British actor Julian Holloway is basically doing an imitation of Robin Leach, host of Lifestyles of the Rich and Famous, for the Back Story piece.