A new mishnah! If a Korban Pesach and a sin-offering were slaughtered, but not for their own sakes correctly, then they won't be fit for those specific purposes. And this need for correct intent applies to all 4 acts of worship with regard to the blood - correct slaughter, collecting the blood, conveying it to the altar, and sprinkling it on the altar. But whether conveying the blood is truly part of this worship is opened for discussion. Also, a discussion of pigul - namely, the meat of an offering outside of its specific time of offering. Including a discussion of a kohen who dips a finger in the blood and whether that has impact on the validity of the korban and also on the question of pigul. Part of the issue is that most laws of these offerings are derived from the peace-offering, shelamim, but pigul has different halakhot for the sin-offering.