What is the meaning of "Mefazez u'Mecharker"?
Radak #1: Mefazez is like Mecharker; they are different kinds of dances.
Radak #2: Mefazez is the same as Mecharker; it is repeated to show how much he dances.
Radak citing Targum Yonasan: He dances and praises.
Radak: In Divrei ha'Yamim I, 15:29, it says "he dances and is jovial."
Why did Michal despise David?
Radak: She thought that it is not honorable for a king to act like a commoner, even in front of the Aron.
Radak: Refer to 6:21:1:1.
Malbim: She was used to her father's house, in which their honor was more important than Hashem's honor 1 . David's house was different.
Surely he means that they held that the king should not forego his honor due to Hashem's honor. We find that a king may not pardon his honor! However, a Mitzvah is different (Sotah 41b). Then, it is good to pardon his honor. (PF)
Why does it say "in her heart?"
Radak: Now, she despised him in her heart. When he came to his house, she told him "Mah Nichbad