Bit of an update: what I have come up with is to have "bucking" lessons. I go on the lunge, my instructor will tell me to make the horse buck and then direct me how to sit it out and how to make him stop. He will only have three bucking "parties" In a row and then he settles into a nice canter. It's making me feel a bit more in control. I only do this with the horse which reverses into other horses because he isn't in any pain as far as we know.
The other two were definitely in pain. The one that bucks to the right is now only being ridden in left canter and the horse which galloped for the door is visibly lame and is now retired.
Just a quick explanation, I wasn't letting the horse reverse into other horses but when I try stop him he starts bucking and throwing a fit before I can make him go forward. So it was nerve-wrecking because I always had to be on edge and prepared. What we also did is to put Spurs on me and that helps tremendously because he mainly bucks at the crop so he will have his little tantrum but much less with Spurs. I do have a steady leg and he is quite small so I'm unlikely to use them accidentally.
I did ask a few people with private horses for lessons, but, unfortunately, they aren't interested. I'll keep an eye out regardless.
Thank you all for the advice.
Last edited by Horsef; 02-23-2016 at 10:42 AM.