The option which explains one way in which the Byzantine Empire continued the cultural traditions of the Romans is the second one - by using Latin as the primary written language, at least until the 7th century when they started using Greek.
A is a weird option - how can adapting Greek ideas be a continuation of Roman traditions? C is insulting. D is incorrect as Byzantine Empire didn't have gladiators.
Baldassare Castiglione wrote the Book of the Courtier from 1508 until it was published in 1528. (B).
The biggest appeal of Christian Revivalism was the Protestant idea that people could have a personal relationship with God without having to pay indulgences to the Church, which appealed to many people who wanted a "pure" relationship with their God.