en_tn_lite_do_not_use/1pe/02/13.md

every human authority

"every person who is in authority" or "everyone who has authority"

for the Lord's sake

Possible meanings are 1) that by obeying human authorities, they are obeying the Lord who established those authorities or 2) that by obeying human authorities, they will honor Jesus who also obeyed human authorities.

the king as supreme

"the king as the highest human authority"