At 19:49 Kady is holding a book titled "The Dragon Riders of Porn". This references "The Dragonriders of Pern", a series by Anne McCaffrey begun in 1967 and comprising 23 novels and a number of short stories to date.
While she and Fen are laying a new path for the fake prophet, Margo likens the hard work to a training ruse by Mr.Miyagi, referring to Daniel polishing his automobile in the famous "Wax on, Wax off" sequence from The Karate Kid (1984).
Quentin wants to call the dragon egg, Falcor. Falkor (spelled differently to on the show) is one of the main characters from the book, 'The Neverending Story', which became the movie, The NeverEnding Story (1984).
At 23:00 Margo calls The Prophet "Benedict Cumber-douche" in an obvious reference to the English actor Benedict Cumberbatch.