I don't think it is fair to critique him when he is out of shape so I won't. He looks nice in your english class. I like his stride and he looks really consistant. The only thing that stands out to me in that vid is that he has a tad bit more knee action than I prefer at the canter but it is not so much that it is overly detracting. I applaud you for getting him to move out at his canter as he should. Too many people try to lope in an english class and it isn't right. You have a much nicer horse than most of the people you were showing against and you should be proud of him!
Also I think she was purposely counter cantering in the warm up video. Counter cantering is a great way to get a horse to build of their behind!
Someone stole my %&#*@&% Carrot!