When Miriam appears and attacks Batman, Tammy Vance is tied up, even though Robin untied her seconds earlier.
Batman flips Miriam through a wall, creating a huge hole, but when he looks through the hole, it is suddenly much smaller.
The Vallely Theatre shown in the opening of the episode is showing Death of a Salesman but the marquee reads "DIATH of A SALESMAN"
While describing Baby-Doll's condition, Batman says it kept her from aging. He more likely means it prevented her from physically growing, as Gordon's next sentence is that in an old clip of her TV show, she was 20 and she would currently be about 30.