After being fired, Andrezej puts his fist through the screening room door. This is a reference to Francis Ford Coppola (father of director Roman Coppola) and his short temper. When the editors get a framed section of the destroyed wall, it is actually a portion of a wall the elder Coppola wrecked in his early directing days.
Every time Enzo says how many movies he's produced, the number shrinks.
The trailer for the film is stylistically identical for the trailer that Paul designs for the film within the film, which, in turn, is stylistically identical to the trailer for the Stanley Kubrick film, Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb (1964).
"CQ" is the Morse code phrase for "seek you" (a call for contact).
The currency that Dragonfly is showered with when she accepts the mission to steal Mr. E's weapon have the portrait of President John F. Kennedy on them.