As Paul is cleaning out his office, he takes a large orange ball, that was sitting on a small dish, and puts it into a box. In all other subsequent shots, the ball is back on the small dish.
Alex and Mallory are talking about watching CNN and MTV, respectively. However, in other episodes, it's stated that they don't have cable.
Alex gives Mallory and Jennifer a check he got for his 14th birthday from his aunt. However, as someone who's heavily into banking and finance, Alex would know that a personal check is stale-dated and can't be negotiated after 180 days from the date issued.