Mary suffered from seizures as a symptom, and the actress who played her had epilepsy.
After interviewing Dr. Gilmar, Wilson exclaims "That's our Hitler!" This is a line from Mel Brooks' "The Producers", when after many auditions producer Max Bialystok finds his leading man.
At the beginning of the episode, Mary's coach suggests that she should "do the two and a half" but Mary says that she will "nail the three." She clearly does a one and a half.
Dylan Kussman (Mr. Carroll) and Robert Sean Leonard were co-stars in the film Dead Poets Society (1989)
Having six hundred patients needing initial assessment, and with all the staff they had doing it, they should have quickly finished within (and being generous here) 3-4 hours, at the rate they were seeing patients.