The Real C. Julius Caesar

[Tellos Athenaios]

Um, no. Caesar never did that. If you see any inscription that says Imp. Caesar. It would belong to Octavian, as that was what he was known as before the title Augustus.

Huh? Imperator simply meant 'Commander'; so I don't doubt Caesar would've called himself that way when he addressed his men or gave out whatever orders he did.

Augustus used it to give his assumed/enforced powers a more legitimate feeling to it; as an Imperator usually was appointed by the Senate.

"At the age of 19...
... and the Senate gave me Imperium"; is IIRC one of the first lines from his/the Res Gestae.

EDIT: Also, Octavian is a bit of an awkward name to use.