Morals are relative.
As much as philosophy, mathematics, logic. Relative is the wrong word. They're unfalsifiable.
Nonetheless, committing yourself to a set of premises commits you to their logical consequences. Consistency demands rejecting contradictions.
Do you think we should respect a moral system that accepts slavery as much as one that doesn't? If not, then you're not a moral relativist, and that's a relativist fallacy.
they only exist through collective belief and action
Not according to the philosophy & logic: a proposition is either true or false. While practices can wear away, truth values of propositions don't vary.
You're confusing language sensitive to conditions, and the propositions they express. A statement can express multiple propositions. "The boy is playing football" expresses different propositions in UK & USA. "I am hungry" expresses distinct propositions according to who says it & time of day. Each of those distinct propositions has a unique & absolute truth value. When the meaning of a statement changes, the truth value of a proposition isn't changing: the proposition the statement refers to varies.
The truth value of "people have inalienable rights" doesn't wear away as practices change: the proposition's truth value remains the same regardless of changing practices.
A disagreement over moral propositions may indicate incompatible moral systems or a need for reflection & reexamination.