Duke Juri Alekeyevich Dolgorikov didn't have a daughter. He only had a son Mikhail Jurevich Kolgorokov.
In the movie Princess Anna is promised as the wife to Duke Ivan Prozorovski of Astrachan. However he was already married to Praskov'e Fjodorovna Likhavheva since 1643.
Rasin's younger brother was called Frol, also known as Frolka, not Filka as said in the movie.
It is said in the opening card that the first scene is set in 1667. However in this scene the song "Slav'sya" from the opera "A Life for the Czar" by Mikhail Glinka Glinka is sang. The opera was released in 1836.