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You can't make objective moral rules. You can only make objective rules about moral rules.

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Ding. This point cannot be emphasised enough.

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Like the scientific method if you want to put forward a moral rule it has to apply to everyone in the same moral category. You don't have to have a rule saying do not steal but if you do you must apply it to everyone and that include government agents taking tax money. You don't have to have a rule saying do not murder but if you do you have to apply it to people in green uniforms to the same level that you do to people not in green uniforms.

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Exactly. So anyone who wants to propose a moral system should first answer these two questions:

1) do you think moral systems which are consistent are better than moral systems which are inconsistent? (this is what you're getting at by saying rules should apply to everyone in the same moral class.)

2) do you think moral systems which only have one single moral class are better than moral systems which have more than one class?