Ron Silver's character mentions that Fidel Castro tried out for the Washington Senators baseball team. That is a common myth. It simply never happened.
Near the end of the scene in the shower, one can see that Cybil Shepherd is wearing something white over her breasts.
When the three women are in the car, Claire is talking about when she just "got out of grad school" but her lips don't match. Looks more like she is saying "college."