The situation of the country is not particularly well recreated in the sense that there is not much depth involved excepting the Ivan - Philip development. Other than that, Lungin remained fairly close to historical accounts.
Overall the movie is a masterpiece of Slavic cinematography and I highly recommend you make the time to watch it, the acting is excellent.
Pyotr Mamonov as Ivan the Terrible
Oleg Yankovskiy as Metropolitanate Philip