The Pesach lamb has to be killed, roasted and eaten that same night. If a family couldnt eat the whole thing, it had to be shared and any leftovers burnt. Obviously Jesus wasnt killed and eaten.
The restoration of Passover Ezra speaks of was due to the return of the Israelites from Exile as is explained in the verses following the one you quoted.
"So the Israelites who had returned from the exile ate it, together with all who had separated themselves from the unclean practices of their Gentile neighbors in order to seek the LORD, the God of Israel. 22 For seven days they celebrated with joy the Feast of Unleavened Bread, because the LORD had filled them with joy by changing the attitude of the king of Assyria, so that he assisted them in the work on the house of God, the God of Israel."
As you can see, there was no sprinkling of blood on the alter (not required for passover) and no forgiveness of sin. (which even when there is a sacrifice at the temple alter, it is for unintentional sins only)
Wasn't the blood of the Passover lamb to appliedshalom b'SHEM Yah'shua HaMashiach
to the doorpost to protect from the Angel of death ?Weren't all who in the house covered by the blood,
both gentile and Jew.Wasn't Isaac replaced by a lamb as a blood sacrifice ?
"An Israelite slaughters the Passover Lamb and a priest received the blood,
hands it to his fellow, and his fellow to his fellow, each one receiving a full
basin and handing back an empty one. The priest nearest the altar tosses
the blood in a single act." (Pesachim 5:6)