For punishment, Bart has to write Hieroglyphs on the chalkboard. If one looks closely, it has an eye, a well, a knot, a D- and a head. Translated this is, Eye Well Knot D Face, or I Will Not Deface. It is also reference to chalkboard gag.
This episode is non-canon and takes place on Easter Sunday.
The story of Solomon comes before David and Goliath, but in the Bible it was the other way around. Also in the Bible, it says that Solomon is the heir and son of David.
Wiggum, in Bart's dream of David, asks the king David, "Where's your Messiah now?". But in the Bible, Jesus descended from David's line and in Homer's dream Jesus is there, but Solomon was David's son and he was also an ancestor of Jesus.
For a moment when Bart is falling asleep, Maggie's pacifier is blue instead of red.