When the conspirators chase Antony, he heads toward a temple. According to the religious beliefs of the Ancient Romans, once a person touched a temple, he was inviolate, and was granted sanctuary. Even professional assassins respected this custom.
Contrary to popular belief, coins are not put on the eyes to pay the "ferryman" to cross over to the afterlife. The appropriate way is as in Niobe's funeral, put under the tongue so when she enters her first word would be to pay the "ferryman" for her journey.
Antony's compromise solution of allowing Caesar's promotions to remain in effect meant that Vorenus would have continued to be a senator. For the sake of the storyline, this was conveniently ignored.
Caesar's will was kept at the Temple of the Vestal Virgins, with those of other prominent Romans, not in Calpurnia's home.
When Servilia (Lindsay Duncan) agrees with the other conspirators to go into talks with the Julii, Brutus (Tobias Menzies) indignantly answers "You too, mother?" This is a direct reference to Julius Caesar's famous last line "You too, Brutus?", which, according to some historians and William Shakespeare, was spoken when he saw Brutus among his killers. This may also have been what Caesar wanted to say in the previous episode "Kalends of February" (Brutus mentioned Caesar tried to speak), but wasn't able to.