One of the last films to show the Twin Towers of the original World Trade Center, they're visible four times throughout the film. Three of those appearances also show the adjacent forty-story WTC Building 7, which was not constructed until 1987, though the film takes place in 1983.
When Dice talks to Billie about his future as her producer, a drink is in his hand. He takes a sip, and lays it down in a position on his chest where any liquid in the cup would have spilled out. Then he keeps drinking, as if there still was liquid in the cup.
Dice mentions to Billie that one of his favorites is Quincy Jones, citing his Grammys and Oscars. This scene takes place in 1983. To that point, Jones had been nominated for seven Academy Awards, but had never won one. And the only award from the Academy that he has ever won to this day was the Jean Hersholt Humanitarian Award which he received in 1994.