Even though AJ mispronounces Nietzsche as one syllable when in fact it's two syllables, he most likely he didn't realize this error because he was never was the most diligent and disciplined student.
When AJ stops the Mercedes after scraping the parked vehicle, the passenger mirror is still attached. When he gets out to walk around the car and inspect potential damage it is now hanging.
When Matt and AJ are walking along the batting cages the camera dolly track is visible.