Hey Gulliem,
There is no combination of instruments I love more than woodwind. Mozart wrote some beautiful serenade's for wind instruments that really bring out the potential of these instruments. I think for the purpose of studying counterpoint, you really need to hear each individual part. Therefore I would suggest reducing the speed.
I like your opening material and think we can work with that. You have the right idea to imitate the first 3 notes within the bassoon part, which then goes on to providing an arpeggiated foundation, passing through I-VI-V-I-IV before converging into Gminor. I have adapted your music somewhat whilst trying to maintain your ideas, although I had difficulty with your cadence which ends on the dominant of G minor. As this is a deceptive cadence, it should end on the tonic of this key, with the bass rising from a raised / sharpened leading note (F#). Furthermore, the presence of the C# to the D makes the movement from the 7-1 in the bass impractical given the parallel 5th that would arise. This is why I have altered bar 3, so that we can achieve the proper deceptive cadence.
I have also changed the bass part somewhat in such a way that continues the contrary motion between the other parts. The inner parts are also adapted. The horn is utilized as a dominant pedal.
I personally think that your use of the monte is a little premature and is unusually prepared by the dominant of Gm. When I use the Monte, it is usually prepared by a perfect cadence. Furthermore, they are usually characterized by either 2 or 3 stages and yours has 4 stages. There is no rule against a 4 stage monte, although it is important to vary the texture somewhat if it is to be extended further.
What you have written mostly makes harmonic sense, although we need to work on how to give each of your parts meaning. I have suggested you practice two part counterpoint until you are confident with the relationship between the bass and upper voice, in particular cadences. Once you have mastered this, the rest should just be a matter of filling in the other parts. The foundation is essential to have before you attempt 4 part writing.