Why is the lamb mentioned here, and not in the Parshah of the Musafim in Parshas Pinchas?
Rashi: This lamb is an independent obligation along with the Korban ha'Omer.
What are the implications of "Va'Asisem b'Yom Hanifechem Es ha'Omer"?
Sifra: It implies that the lamb and the Omer are not interdependent - that one brings the lamb even if there is no Omer and vice-versa.
Megilah 20b: It implies that the waving must be performed during the day, and is therefore Kasher all day. 1
See Torah Temimah note 40.
Why were they commanded to bring only one lamb as an Olah together with the Omer, whereas together with the Shtei ha'Lechem on Shavu'os, they were told to bring a series of Korbanos, including an Olah, a Chatas and a Shelamim?
Oznayim la'Torah: Based on the distinction between the Omer and the Shtei ha'Lechem - refer to 23:11:1.1:1 and note - whereas on Shavu'os, they attained the level of human-beings, and they had become worthy of bringing all the Korbanos, on Pesach when they were still on a sub-human level, 1 they were only able to bring a Korban [Ma'achal] Beheimah - plus a lamb as an Olah 2 - the lamb that they had worshipped in Egypt, and that they sacrificed to Hashem on Erev Pesach before leaving Egypt.
See Oznayim la'Torah, who elaborates.
This was necessary because the Omer itself was entirely eaten by the Kohanim, and part of every Korban is always given to Hashem. (We find a similar idea in the Korban Oleh v'Yored, for which an Ani must offer 2 bird - a Chatas as well as an Olah for the Mizbeach, see Vayikra 5:7:2:1 . But here, a Kemitzah of the Omer was indeed offered on the Mizbeach, just like every other Minchah! See Vayikra 2:14-16 . (CS))
