When Owen and Nadine wait outside the restaurant after their first date, they shake hands. Owen wears gloves in one shot, in the next they are gone.
The amount of paint on Owen's face before the interview.
At one point, Jack makes a reference to "the moons of Venus", but Venus has no natural satellites. However, he indicated some annoyance at Chloe's obsession with astrology and may simply not have known.
When Owen turns on his answering machine you can here Nadine singing part of "The Trolley Song" from "Meet Me in St. Louis". Later at the end of the film, he plays her voice message as well as a few others but she is not singing part of the song.