Ha, I was watching that vid thinking "that horse should be a jumper" and saw then that I am not the first to have thought that.
For the most part you seem to have a very strong lower leg which allows you to stay out of the way of your horse. I would like to see a little more bend around the turns rather than having him shoulder through them, it will help with your set-ups. Also, you have a habit of twisting your torso around the corners, this I suspect is contributing to your horses's lack of bend around the corners too.
I really like the way your horse locks on to each jump, what a willing partner you have there. I am not a hunter so can't comment on that, however from what I see this horse could make a nice jumper.
Lastly, I would want to do some grid work with him to get those knees nice and snappy.
In all, nice rider, nice horse.
All horses deserve, at least once in their lives, to be loved by a little girl.