Are all covenants God made with Israel inside the Abrahamic covenant?
Yes. Every covenant God made with Israel is within the bounds of the Abrahamic covenant. The Davidic covenant, for example, is surrounded by and contained within that Abrahamic covenant. All such covenants with Israel are encompassed by God's covenant promise to Abraham.
Les teaches that all these covenants are surrounded by the Abrahamic covenant. He says every covenant God made with Israel is within the bounds of that Abrahamic covenant. As an example, he points to 2 Samuel chapter 7, the Davidic covenant, and explains that it too fits within the Abrahamic covenant. He then traces David's royal line through Solomon, Nathan, and the genealogy down to Joseph and Mary, noting that although it seemed the line might be broken during the Babylonian captivity, God preserved it until Christ was born.