The design of the poster for the play mimics the design of the DVD cover for the complete first season.
The Ember Island play actually spoofs the series itself, and the play's characters are mostly caricature versions of the series characters. In a more subtle spoof, Sokka notes that it was really unclear in the play whether Jet and "Combustion Man" died or not. This ambiguity is true for the series itself. Also, Toph says that she prefers herself being played by a big muscular guy. Originally, Toph was indeed supposed to be a big guy and not a very small girl. The name of the play is "The Boy in the Iceberg" - just like The Boy in the Iceberg (2005).
"Actor" Azula is voiced by Grey Griffin's friend Tara Strong (who had done some additional voice work on in the series).
The portrayal of Aang by a woman in the play is a nod to past productions of Peter Pan. Traditionally the character of Pan is played by a small woman instead of using a 8-to-10-year-old boy.