When he introduces himself to Millicent inside the train station, Paul is wearing a dripping wet raincoat. It stays wet in the close-ups, but in the next several inter-cut two-shots, it's completely dry.
Producer William Froug rejected an extremely nervous young singer/actress auditioning for the part of Mary Rachel, and recalls thinking that "I'll probably kick myself. She'll probably be a big star." He turned out to be right on both counts. The aspiring young singer's name was Liza Minnelli.