I agree with rider4life, your leg is very swingy and not on the horse.
For my critique, I'm just going to go over what I see and then how I would go about correcting it.
The first thing that really stands out to me is how stiff you are in the saddle. You are helping your horse no more than a 2x4 up there, but the good thing is that you aren't hindering much more than a 2x4 would be either. First of all, your base of support, your leg and seat, is braced (skiing position) and you pivot around your knee without really hinging in the hips over the fence while keeping your legs on at the girth. Your upper body is also very braced with an obvious arch in your back and a stiff look about it through the entire ride(s).
The first thing I would really suggest is losing the stirrups and the reins and getting your coach to lunge you to work on redistributing your base of support from the knees and stirrups into the calves, thighs and seat. Yes, we need to have our heels "feathered" down while we ride, but that does not mean we stand in our stirrups until our ankles give, it means we have a leg that naturally relaxes and stretches down while our weight is distributed in the seat, thighs and calves. You are also really going to have to work on softening your back and allowing the horse's movement to go through it. You need to have a supple back that stays flat and not arched or hunched.
Once you correct your base through flat-work without stirrups and with your calf actually on the horse at the girth, then retake your stirrups and start working on your two point. In the two point, the only thing that happens is the horse's movment over the fence naturally closes your hip angle and pushes the rider very slightly out of the tack. To practice this on the flat, start in a rising trot, and on a "rise" hold yourself that far out of the tack and close your hip angle. You should be able to do this without balancing on the horse. If this is not possible, then you are gripping with your knees and need to close the calf on the horse. Then I would start practicing this over canter poles, crosspoles and finally fences.
You also need to start riding this horse more effectively. In the whole video he just cruises around with no input from you. It is very nice that he is such a point and go guy, but you need to learn to really ride his paces and the fences and the distances.