What is the meaning of "Ki Yipalei Mimcha"?
Rashi, Targum Onkelos and Targum Yonasan: It means that it is divided (covered or hidden) from you.
What are the implications of "Bein Dam le'Dam" "bein Din le'Din" "u'Vein Nega le'Nega", respectively?
Rashi, Rashbam,Targum Onkelos and Targum Yonasan: They imply that the local Beis-Din do not know whether 'the blood of a woman is Tamei or Tahor', 'whether the defendant in a monetary claim is Chayav or Patur' ('Whether it concerns issues that concern the death-sentence or money matters' - Targum Yonasan ['Whether the defendant killed be'Meizid or be'Shogeg' - Rashbam]) 'whether the mark on a person's skin is a Nega or not' ('the difference between one Nega and another' - Targum Onkelos).
Ramban (citing the Sifri): "Bein Dam le'Dam" - Whether it concerns the blood of Nidus, of childbirth or of Zivus; "bein Din le'Din" - Whether it is matters that concern "Dinei Mamonos, Dinei Nefashos of Dinei Makos; "Bein Nega le'Nega" - Whether it concerns Nig'ei Adam, Nig'ei Batim or Nig'ei Begadim. 1
See Ramban who elaborates.
What is "Divrei Rivos" referring to?
Rashi, Targum Onkelos and Targum Yonasan: It means that the Chachamim of the town argue over the matter - some say Tamei and some say Tahor; some declare the defendant Chayav, others declare him Patur. 1
Ramban: "Divrei Rivos" incorporates 1. Giving a Sotah the water to drink; 2. Breaking the neck of the Eglah Arufah and 3. Purifying a Metzora.
Seforno: Even though the Torah appointed judges in every town, they do not have a mandate to resolve doubts that arise in the tradition handed down from Sinai, but are obligated to consult the Beis-Din ha'Gadol, as they must also do if there is no majority opinion in th4eir own Beis-Din.
Why does the Torah insert the word "Ve'alisa"?
Rashi: Because the Beis-Hamikdash is higher than all other locations. 1
Physically as well as spiritually.
Why does the Torah describe the Beis-Hamikdash as "ha'Makom asher Yivchar Hashem ... "?
Rashi: In his initial explanation of the Chumash: It teaches us that the location causes the Zakein Mamrei to be sentenced to death by strangulation - until he rebels against the Beis-Din ha'Gadol, he is not Chayav.