Very Cute horse! He looks like he's a good jumper from the picture. However, in the video his canter is very off, as if he was lame. I don't know if it is a western thing or what but i'd defiantly get it checked out and hopefully someone else can help figure it out :)
As for you, I'd go up with your stirrups a whole when you jump because you are over jumping. Wait for the jump to come and let your horse jump for you. Your release is good because you are new to jumping but I would eventually pick up the slack in your reins. Also, make sure you are looking up and ahead and that you don't have "chicken wings!" I think that it is great that you are taking lessons. I have seen to many people on this forum who don't take lessons because they think they know it all - you never do! Unless a family member is actively involved you NEED lessons and I am so glad that you take them!