Augustus thanks the poet Horace for his performance. Roman soldiers enter to inform Augustus of the troops slaughtered his at Teutoburg Forest. Horace died in 8 BCE, the Battle of Teutoburg Forest occurred in 9 CE.
In the miniseries, Julia's son Gaius dies of a mysterious illness before she is banished, and Lucius dies after being wounded in battle. Historically, Lucius died of a mysterious illness before Gaius died in battle, and both died before Julia was banished.
In the miniseries, Tiberius is married to Vipsania at the same time that Julia is married to Marcellus. Historically, Tiberius married Vipsania in 19 BCE, when Marcellus had been dead for four years, and Julia had been married to her second husband, Marcus Agrippa, for two years, and was pregnant with their second child.