When Colleen starts fighting, she names herself "The Daughter of the Dragon." In the Marvel comics, Colleen and Misty Knight, who appears in Luke Cage (2016), are best friends who start a private investigation business together. Due to Wing's samurai-style training and both partners' expertise in the Asian martial arts, they were dubbed "the Daughters of the Dragon."
The coil pot Danny gave Joy for her birthday is colored yellow and green, the same as Iron Fist's costume in the comics.
Although Harold Meachum's penthouse is shown as being atop the Chrysler building in NYC, establishing shots place it elsewhere. At 54:11 Danny Rand walks up to the building entrance which has a 570 on the ground. 570 Lexington Ave. in NYC is the General Electric building. This is confirmed at 54:15 as the camera pans up to show the Art Deco gothic "crown" at the buildings top.