The kings that sit upon David’s throne. — Literally, that sit for David (i.e., as his successors and representatives) on his throne. The plural is probably used in pointing to the four — Jehoahaz, Jehoiakim, Jehoiachin, and Zedekiah — who were all of them involved in the sufferings that fell on Judah.
With drunkenness. — The intoxication of the “strong drink” — here, probably, palm-wine — rather than that of the juice of the grape, involving more confusion and loss of power.