>did thrice offer him a kingly crown that he did thrice refuse, is this naracism

It's politicking. He already had the power of a king, and knew the title would only harm him. It's why August called himself the "first citizen of Rome" rather than king or emperor. They weren't forgoing the power, just the title.

>The people that killed him got to write history so they made him into a bad guy.

Augustus got to write history on him, and that provided an overly rosy view that wasn't heavily questioned for centuries, likely still providing a rosy view of him two millennia later.