What is the meaning of "va'Yachmos ka'Gan Suko"?
Rav Sadya Gaon: He removed His shade. Rid - va'Yachmos is an expression of removal, like "Chamsu Torasi" (Yechezkel 22:26). The Creator's Sukah, which shielded me, now He removed it.
Rashi: He cut off. The same applies to "Yachmos ka'Gefen" (Iyov 15:33), "Nechmesu Akevayich" (Yirmeyah 13:22). Ka'Gan is like people shear garden vegetables. Suko is His dwelling. It is written with a Sin, for Shichech (He assuaged) His anger 1 against His children via destroying His house (Eichah Rabah 2:10).
Ibn Ezra 2 : He revealed, like "Nechmesu Akevayich." Suko is the place of the Dvir (Kodesh ha'Kodoshim). Suko is like "Sukaso" (Tehilim 18:12), just like it says "Chuko" (Mishlei 8:29) in place of Chukaso. "Ka'Gan" - when its leaves drop [and the branches are revealed].
Ri Kara: Va'Yachmos is revealing, like "Kohaneha Chamsu Torasi" (Yechezkel 22:26; they were Megaleh (explained) Torah unlike the Halachah) and "Niglu Shulayich Nechmesu Akevayich." Suko is Tziyon - "va'Yhi v'Shalem Suko u'Me'unaso v'Tziyon" (Tehilim 76:3).
R. Avigdor: (He assuaged) His anger via exiling [Yisrael]. This is why it says "Mizmor l'Asaf Elokim Ba'u Goyim b'Nachalasecha" (Tehilim 79:1). It is not called Kinah (lamentation), for via venting His anger on wood and rocks, He left a remnant in Yisrael (Rashi Kidushin 31a; Brachos 7b says similarly).
I understood this due to the Magihah in Toras Chayim.
What is "Mo'ado"?
Rashi: It is the Kodesh ha'Kodoshim, which He designated to meet with His children - "v'No'adti Lecha Sham" (Shemos 25:22). Ibn Ezra - this is like "Ba'ei Mo'ed" (above, 1:4).
R. Avigdor: It is spelled without a Vov, to hint to six yearly Mo'adim - Pesach, Shavu'os, Rosh Hashanah, Yom Kipur, Sukos and Shemini Atzeres 1 .
Palgei Mayim: Suko is the Kodesh ha'Kodoshim; Mo'ado is the Beis ha'Mikdash.
What are "Mo'ed v'Shabbos", and how did He make them forgotten?
Rav Sadya Gaon: [He ceased] gatherings and days of cessation from working.
Ri Kara: From the time of the Churban, people do not ascend for the festivals 1 .
R. Avigdor citing Eichah Rabah 2:10: He would not make His Mo'adim and Shabbos forgotten! Rather, He ceased the Shabbosos 2 and Mo'adim that Yaravam "Bada mi'Libo" (Melachim I, 12:33). Mi'Libo is written "Milvad", like "Milvad Shabsos Hashem" (Vayikra 23:38).
Palgei Mayim: He made [Yom Tov and Shabbos] forgotten, amidst great afflictions.
Who are "Melech v'Chohen", and how did He despise them?
Rashi: Tzidkiyah and Serayah Kohen Gadol. Rav Sadya Gaon - He distanced them disgracefully.
Ibn Ezra: The Kohen teaches the Mitzvos, and the king uses his power to ensure that people guard them. The Torah was given to both of them.
Palgei Mayim: Melech is Malchus Beis David. He ignored [the merit of] David, who swore not to sleep until he finds place for Hashem to dwell (Tehilim 132:2-5). He profaned the Kohanim, who are primarily to serve in the Mikdash.