"The heat never worked", says Russian president Petrov about LADA cars. Actually, the heater is one of the few things on a Lada that usually works very reliably and effectively.
The Secretary of State and the First Lady/Ambassador to the UN are shown flying on a large wide-bodied aircraft, obviously one of the two Boeing VC-25 aircraft, designated as 28000 and 29000. During their conversation, the President calls, and is shown sitting in the White House, obviously not on board the aircraft. The two Boeings are tasked as Presidential transports, and with few exceptions, such as transporting a deceased former President or outgoing President on inauguration day, they are used exclusively by the President. It would be highly unlikely that the aircraft would be used by the Secretary of State and the Ambassador to the UN. They would travel on a C-32, one of the Boeing 757 variants that are often used as Air Force Two.
Secretary of State Durant says to the First Lady while on board the VC-25 (Boeing 747) they are in, "You're the First Lady. It's your airplane." The First Lady has no official position in the United States Government. She just happens to be married to the President. While Secret Service agents are provided to her full time, for the obvious security reasons, she is not entitled to nor afforded the use of any aircraft. The Secretary of State would never make that statement, as the First Lady is basically just a civilian, and it's not "Her plane", especially if the President were not on board.