Which Cheilev of the ram of Milu'im is the Torah referring to?
Rashi: It is refersring either to the Cheilev of the intestines or to that of the stomach. 1
Subject to a Machlokes Tana'im in Zevachim (See Sifsei Chachamim).
What is the significance of the Alyah?
Rashi: The Alyah is the fat-tail of a lamb and a ram, 1 which begins immediately below the kidneys. 2
The Alyah of a goat and of an ox are not brought on the Mizbe'ach (Rashi).
As the Torah indicates in Vayikra, 3:9 (Rashi).
Since when is the right calf of a Shelamim burnt?
Why was the right thigh of the Eil Milu'im burned?
Seforno: Because it corresponded to the right hand 1 of the Kohen, whom the Eil Milu'im was coming to inaugurate.
Moshav Zekenim (30): This was to avoid Nosar. Moshe was the only one who could eat it, and the chest sufficed for him to eat each day. 2
See Menachos, 10a (Seforno).
This is unlike Riva (refer to 29:22:151:1). The Nesi'im were not concerned for this. Every day, there were Chazah v'Shok of 17 animals including two bulls, and a whole goat (Chatas) for Aharon and (after the first day) only two sons to eat! (PF)
Seeing as both the chest and the right calf and the chest are given to the Kohen, why here, did Hashem pick for Himself the right calf, and alot the chest to Moshe (the Kohen)?
Oznayim la'Torah: Because the chest which contains more meat, tastier, so Hashem gave him the better portion 1
Since in this case, the Chazeh ve'Shok belonged to Hashem, and He was the One who was giving.
What is the Torah coming to explain when it writes "ki Eil Milu'im hu"?
Rashi: It is like a Shelamim. Therefore, the chest went to Moshe, who was the Kohen who offered it. 1
Seforno: It is explaining why the right thigh was burned. 2
Why does the Torah refer to the ram of the Shelamim as "Eil ha'Milu'im"?
Rashi: "Milu'im" (Malei) which is an expression of Sh'leimus, is synonymous with Shelamim. And the Torah is teaching us here that the current Korban is in fact, a Shelamim, because; like a regular Shelamim, it made peace between the Mizbe'ach, 1 the 'Kohen' 2 who performed the Avodah and the owners. 3
QUESTIONS ON RASHI
Rashi writes that the right thigh was burned with the Eimurim. He says right after this that it is a Shelamim. If so, Moshe should have received it!