I thought it sounded ok. I'm no counterpoint expert, but to me it sounded like he used secondary dominants. For example, on the last beat of m.4 the E natural creates a secondary dominant (C7) to lead to the F on the downbeat of m. 5. On the last beat of m. 5 it's less apparent, and a little more awkward to my ears, but I think it still works if you think of the first two sixteenth notes (Eb and G) in the left hand as "ornamentations" before the F on the third sixtenth note. And again, the B natural in the third beat of m.6 is part of a secondary dominant to lead to the Cm on beat 4.
Like I said, I'm no counterpoint expert, but the first rule I always go to is "If it sounds good, do it."
By the way, good work OP, and welcome to the forum. Sounds like you're into the Baroque sound, so I expect many 5 part fugues in the future 😉 .