While the film presents the premiere of "The Rite of Spring" as if it took place in the beginning of the program for the evening, in fact it was preceded by another ballet, titled "Les Sylphides". "The Rite of Spring" was second on the program.
The chess board on which Stravinsky and his son are playing is set up incorrectly. Any chess playing Russian would know that the light colored chessboard square should be on the lower right.
In the opening scene in Chanel's apartment, the year is 1913. The record she is playing is the song, "You Made Me Love You." While the song was written in 1913, the version on her record player is the 1941 big band version by Harry James and Helen Forrest.
When Chanel first brings Igor to see the piano in her home, he sits down to play a piece of music. The piece he plays is a duet written by Stravinsky, and though it seems like Stravinsky is sitting down to play the song it would be impossible for him to do so, since the range is both in the higher, lower and middle register of the keyboard.