Accidentals such as naturals continue for the rest of the measure. Therefore, the chord in the first measure should have C natural, not C sharp.
Seeing the second measure in isolation, a B natural instead of Bb would be the obvious "vanilla" thing to do. So it is right that it sounds off to you for now. I have not had an opportunity to play the passage to hear it in context, but I suppose by looking that the Bb is a dissonance that "wants" to go down to the A in the next measure.