Okay, so I didn't read what everyone else said because there's way too much, so I'm sorry if I repeat one anyone said.
First on the curb and draw reins thing. I, personally, am opposed to them. I was made to use them on my poor Ronnie and he seemed to find them extremely uncomfortable. But you aren't yanking on your horse's mouth so that's good. I would suggest a snaffle at that age because it gives you more side to side movement so you can flex and move him more to warm up as well as school (but not meanly).
He is very, very good for being two! He is a bit messy to the right, but if he broke his pelvis you should just give it time. He seems to have a good head-set, so I wouldn't worry about that. Ignoring that he's two for a minute, there are some things that could be imroved as he matures. He needs to slow his legs down just a bit and could get a bit more up under himself to the right. But give that time because of the injury and age. I'm just saying what to slowly improve.
And this is just an opinion, but I've always preferred a horse with a little more movement at the jog. Just a LITTLE, he looks close to breaking to the walk.
As for your seat, Farmpony, I definitely don't think you sit to far back. In the WP it seems to be the style to sit back a bit more. I saw you lean forwars a couple times, so just work on it. I do that too! Haha
I want to say again that he is WONDEFUL for his age! You have very little that you need to majorly worry about. Good job and good luck in the future :)