What was the primary message?
Malbim: The Bayis itself is not primary. Rather, it is a means for Yisrael to serve Hashem together, and amidst this the Shechinah will dwell among them. The primary Bayis is going in Chukosai - you yourself build the Bayis through this!
What is the difference between "Chukosai" and "Mishpatai"?
Gra: Chukosai are of Shamayim - "ha'Yadata Chukos Shamayim" (Iyov 38:33), and Mishpatai are Chukos ha'Aretz - "Melech b'Mishpat Ya'amid Aretz" (Mishlei 29:4).
Why does "v'Shamarta Es Kol Mitzvosai" add?
Gra: This is man's Tikun. He combines (Chukosai and Mishpatai) via doing the Mitzvos. These correspond to three levels of intellect - investigative, thought and in action, which are Chachmah, Musar and Binah. Corresponding to these, Hashem promised him to establish His Bris, dwell amidst Yisrael and not abandon Yisrael (verse 13).
