Rabbi Elazar and Rabbi Shimon disagree on the last point and say that he restarts from the last successful sprinkling. For example, if he did three sprinklings and then the blood spilled, he goes to the Courtyard, slaughters another animal, receives its blood, but now restarts from the sprinkling number four.
Rabbi Yehudah qualifies the first rule of "everything in order" - it only applies to the steps in the Holy of Holies, but not in the Holy. And Rabbi Nechemiah adds another qualification: the rule applies only to the steps done in white vestments but not in the regular golden vestments.
Art: Study of a Goat by Pieter Boel