The Team return to the garage and Walter takes off his jacket and tie. His shirt collar is up and then down and then up, throughout the scene. Yet neither he nor Paige fix his shirt collar.
Cabe says diplomatic immunity does not cover murder. This is not true. There are different types, or levels, of immunity generally based upon the individual's position. These types include those that are fully recognized, family, consular, technical, and administrative staff. Lower level diplomats, such as technical staff, generally only have immunity for official acts. Fully recognized diplomats can, and have, commit any crime including murder and refuse to waive their diplomatic immunity. More correctly, their country is who decides whether to waive immunity or not.
Towards the end, Walter says that his shirt smells of Methane. Methane is an odorless gas. The smell that is associated with methane comes from hydrogen sulfide.
The United Nations employs simultaneous translation with translators located in booths off the floor. It does not have translators standing on the stage with speakers.
It's not possible to have someone declared incompetent just for medical decisions and not incompetent for all decisions. As such, Megan could not get married as someone who is incompetent cannot make the decision to get married.
They say NYPD has "mounted SWAT" which is not the case. NYPD does have mounted patrols, but those officers are not SWAT, which NYPD calls Emergency Services Unit (ESU) versus SWAT like most other police agencies.
A video feed that purports to show the 15th floor of the United Nations building is labeled "Lobby 3".