(Devarim 16:2) "And you shall slaughter a Pesach": Its slaughtering must be in the name of Pesach; otherwise, it is unfit.

This tells me only of its slaughtering. Whence do I derive the same for the receiving of its blood and the sprinkling of the blood? From (1) "and you shall make the Pesach."

I might think to include ("in the name of Pesach") the burning of its fats; it is, therefore, written "and you shall slaughter."

Slaughtering was in the general category (of "making"). Why was it singled out (for special mention)? To serve as a basis for comparison, viz.: Just as slaughtering is distinct in being categorically required for atonement, so, all that is so required (is included) — to exclude the burning of the fats, which is not thus required.

"to the L-rd your G-d": for His name's sake.

"sheep and cattle": Does the Paschal offering not come from lambs and kids? If so, why "sheep and cattle"? Sheep for the Pesach offering and cattle for the festive offering (chagigah), and to compare all that comes from sheep and cattle to the Pesach, viz.: Just as Pesach is a mandatory offering and comes only from chullin (non-consecrated) animals, so all mandatory offerings must come from chullin.

"in the place that the L-rd your G-d shall choose to repose His name there": Shiloh and the Temple.