Donald F. Muhich, who played Alice Henderson's therapist, was director Paul Mazursky's real-life therapist. He later appeared in three other Mazursky films.
When Ted is in the pool talking to Bob, he says "I called home to make sure the kids were okay," using the plural "kids" - but they only have one child.
In the psychiatrist scene, Alice is sitting directly across from the shrink. But in her close-ups, her chin is raised and she is obviously talking "up" to the camera.