Gaius Gracchus is supposed to be a friend of the Republic, and he was, but by this point in Roman history (late 2nd century A.D.) he and his brother Tiberius were both long dead. They both died in the 2nd century B.C. from mob violence years apart from each other. The mysterious re-animated Gracchi brothers is a common mistake in Roman-themed movies. See more...
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Factual error: There's a blackboard in one of the scenes when there's about to be a gladiatorial contest. The Romans may have had blackboards then, but the writing on it is wrong. The sort shown takes time to chip into stone used on statues, etc, and I suppose it would take quite a long time just to write things on a blackboard. The Romans had different writing for things like that, as shown in the graffiti in Pompeii. It's more flowing, and I expect it's quicker to produce.