During the argument in the hallway, when Malcolm punches Glenn, there is a housemaid in the background taking notes of the entire confrontation.
Hugh says, "I think it was Derrida who said 'There is no such thing as empirical truth'". The quote is, "There is no such thing as objective truth" but it was not said by Jacques Derrida.
When Ollie is trying to write the speech with Nicola in the background, they say it's like they're in the West Wing. Ollie then says that he's no Josh; Bradley Whitford is a character on The West Wing (1999), though he was Deputy Chief of Staff and not a speech writer.