Small sizing on flopo is fine, ott as it hits a big portion of BB calling range, going for a bigger sizing is a good idea, but no warm in betting smaller to guarantee he will be calling with worse.

I think it is fine. I definitely would not check this turn. And I think your sizing is fine on the turn...could possibly go a little smaller, but not much...want to set up a good river jam size that can still get called easily.