Corrected entry: The film is set between 2007 and 1976, and during a scene in 1976 the lead character, Tommy, goes to a diner. The waitress asks what he wants, and laughs when he says "coffee," citing his young age. She brings up something else instead: Cherry Coke. However, Cherry Coke was first introduced to a test audience at the 1982 World's Fair. It went into mainstream production in 1985. The scene happened nine years too early.
Correction: The problem with quoting Wikipedia is the information there is not always 100% accurate. In diners, since at least the 1940s, fountain drinks could be ordered with a shot of flavoring, one of the most popular being cherry. Cherry coke doesn't necessarily mean only the product sold by Coca Cola, since many diners had been adding flavorings for decades by the 1970s.