The priestly setup is a shadow of the heavenly and though the fleshly priesthood is fleeting the heavenly endures forever. So I believe you are correct.
As far as authority to punish crime. I am talking about the authority to punish sin of disobedience to Yahweh. Crimes against man will always be enforceable by man such as murder and theft but crimes of breaking the Sabbath or false worship are not for us to punish as He will punish as He sees fit. At least that is my understanding.
I hope that clarifies.
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