Pesachim 78: Ritual Sprinkling

Does the mishnah line up with R. Yosi? What is the role of the tzitiz? Also, what is part of your korban becomes impure? Specifically, the meat that you would eat are impure, and the parts that would be burned on the altar are fine - no sprinkling of blood, because the eating is the most important part for the Korban Pesach. The reverse would require sprinkling. But the Korban Pesach itself doesn't have to be eaten, as long as that sprinkling takes place. Which lines up with Rabbi Natan's opinion. Also on tap, an attempt to understand the sprinkling of the blood.