During Jordan and Dr. Cox's conversation before she leaves, the clock in the background does not work.
When Turk is listening to the Spanish lessons on his headphones the person says: "Cuando es - What time is it?" However, that translates to "When is". It should be, "¿Qué hora es?"
When Cox and JD discussed memorizing names, they both referred to using pneumonic devices. The correct word is mnemonic, which refers to memory. Pneumonic refers to lungs.
At one point Dr. Cox is helping JD memorize names and they are sitting on opposite sides of the table. While Elliot is talking to them JD slides around the table to sit next to Dr. Cox, which is rather miraculous as the side of the table JD would have had to move around was against the wall. He clearly sidles in from the left so he did not go under or over but somehow compressed himself to a fraction of a millimeter to fit between the table and wall.
When JD imagines the Risky Business (1983) daydream he makes the mistake of having Cox in Wayfarer sunglasses but Tom Cruise didn't wear sunglasses in the film.