Factual error: Caesar was not murdered on the Senate floor, as depicted in the series. That was the conspirators' plan, but when they learned that Mark Anthony was coming to meet Caesar, they instead lured Caesar into the portico of Pompey's theatre and killed him there.
Suggested correction: The reason the senate was meeting in a different place is because the Senate house had been burned down a little while before so they met elsewhere during its reconstruction.
Factual error: Octavian was not in Rome when Caesar was murdered.