Factual error: When the American team almost assassinates the vice-chancellor in the beginning, the German team comes in guns blazing. No special forces unit in the world would do that. They would have suppressed weapons, and use their ammunition diligently.
Factual error: The headquarters of the German GSG-9 are actually in Sankt Augustin near Bonn and not in Hamburg as the show implies.
Factual error: Betsy Blane is shown in her Army Class-A uniform preparing to address the press. She is wearing infantry cross rifles. Women are not allowed in the infantry.