This depicts the Russian government offering unlimited campaign contributions to a candidate for the presidency of France in exchange for favors once he is elected. French elections are tightly regulated; the amount of money candidates can receive from private contributors is strictly limited and the total budget for a presidential campaign is limited to 20 million euros. TV advertising, the primary expense for national candidates in the U.S., is forbidden in French presidential elections; instead each candidate receives free TV air time. The Russians are accused of trying to influence the most recent real-life French presidential elections, but the allegation isn't that they offered large amounts of money to the candidate they wanted to win; it's that they leaked, and possibly forged, damaging information about the candidate they wanted to lose.
During the filming of this episode, and at the time of airing in the US, NATO had 28 member states (Montenegro joined on June 5th as the 29th.). Yet there're only 19 flags on the wall behind secretary McCord. In addition one of them, the one between Greece and Iceland, is that of Yemen (red, white and black stripe), a very non-NATO member. Also, the flags of NATO are displayed in the order of how each country's name is pronounced in that respective nation's language. Which means France's flag not only should have been after Germany (Deutschland), but also Greece (Ellás).
Henry mentions how he is being recruited for the Special Activities Division of the CIA which is later shown assessing the situation with France/Russia. However the Special Activities Division is a paramilitary/covert political action wing of the CIA and is involved in direct action or political influence operations and not analysis.
The building shown briefly at 11:20 as the "Nato Headquarters, Brussels, Belgium" is in fact The Chancellery of the President of the Republic of Poland (Polish: Kancelaria Prezydenta Rzeczypospolitej Polskiej), in Warsaw.