Coming back to the game after many years away. I don’t see pushing damage in the Empyre rulebook, has that been removed? It also almost seems like you can give the same character more that one action (and token) in a single turn, is this correct? How does goes turn immunity work? Do objects still add to damage dealt? Is there any kind of listing that shows the overall changes from the rules that were in effect a few years go to the more updated rules that came out recently (2020/2021?)

Pushing damage is gone, but it’s still one non-FREE action per character per turn. Objects add +1 to close damage regardless of being light or heavy and deal 2 range damage regardless of being light or heavy.
First round immunity is iirc a silver rule. I’ll brb with the exact wording.
EDIT: from the Empyre PAC (the most complete one out of Disney Plus, Wonder Woman, and X of Swords but I can’t speak for the Hellfire Gala one)