Alan Hale Jr had an injury during the making of this episode, that resulted in his ear being badly cut. In most scenes, on a close up, his right ear is bandaged up.
This is the first of two plays the castaways undertake. The second is #3.4; The Producer.
When Gilligan brings Ginger good news of Mr. Howell wanting to finance her play when they leave the island, she tries to kiss him & he hits his head on a pole & knocks himself out. A similar scenario happened in#1.6; President Gilligan. Ginger breaks the Fourth Wall in both of these episodes. She will do it again in The Sweepstakes.
In this episode and the later episode The Producer, the Professor doesn't take any acting role in any stage production. He only works off-stage.
The play is called Pyramid for Two.