The only thing that jumps out at me honestly is your third barrel pocket. As soon as you get off that second barrel might wanna push a bit with your right leg. He missed those first two axis points on the third barrel which in turn messed up the other points. Also a he went towards the first barrel and you had to move him left just to go right. Drive him forward as if you are going to run past the left side of the barrel(never ever look at the barrel!). Focus your eyes between his ears about 3-4ft from the backside of the barrel for your first axis point and start of the pocket, then push with your left leg when you get up to about rating point, and guide him with your reins and outside leg into the pocket. Minor easy stuff to work on and you two did a really great job!:)
"Blame it on my wild heart."