There's only two sentences, should be pretty obvious... but ok: the second one is a thinly veiled - to give the benefit of doubt, probably not on purpose - ad hominem.

You're putting yourself into an authority position where you write him off as incompetent:

"Do your homework! What you say is wrong and awkward!"

That's an attack at him personally, and completely unnecessary. Simply providing the facts showing that he's wrong would have sufficed. You haven't done that, btw.