Your horse looks like a great hunter/jumper prospect, he's nicely square in the knee, nothing I can see to stop him from being a bigger hunter.
In the indoor pics: what are you trying to work on? I see a pole on each side of the fence, so I'm assuming you're trying for distance (finding the box for a correct bascule) and speed, that is, getting the horse to slow down and think about the fence? Anyways.. in the 4th pic it looks like the horse chipped the fence, or came to close to the base, and had to pop over it.. finding the base of the jump will fix that. As for the rider (I'm assuming it's you on board..) I would suggest you settle down into the saddle a bit more, and not get so far out of the tack. Keep your hips and ankles in line over the fences, don't rock your legs back or forth. It almost like you're jumping ahead of your horse - let him take the jump, you don't have to jump it before him! If you get too far ahead of the motion, it might cause him to stop... which means you'll be jumping solo, if you catch my drift.
In the indoor and outdoor pictures: Shorten up your rein a good 6 inches.. or more.. get your coach to show you a crest release. You should have your hands closer to your chin, not resting in your lap.
In the outdoor pictures: Your leg looks really long, resulting in you looking like you can't get out of the saddle because of it. This is more the position of the hips I want to see, but in a shorter stirrup. Again, you look like you're jumping ahead of the horse - getting in front of the motion.
As for the horse, it looks like he's very rushed to the fences (a common problem with TBs - I had the same problem with my little mare!) so work on exercises that slllloooowwwww hhhhiiiimmmm ddddoooowwwwnnnnnn... you get the point :)
Don't let him suck back and chip his fences, but don't let him rush so much that he can't rock back and get over the fence..
I'm out of ideas. Hope it helps.