what a great horse and what a great start you have! You are doing a great job on starting this horse and building a foundation that will last for years. I see a bright future for you two.
The horse is following the rein nicely. I see that at times, particularly going left, you employ a neck rein in a supproting fashion, and I assume that the direect rein is also being engaged (just cannot see it). I wouldn't hurry neck reinging, but it as long as it isn't confusing the hrose, why not start teaching it now?
At times I see you almost using the rein, or shall we say, a loosening of it, to tell him to step on. And that is about the only thing that comes to mind to critisize at this point. You don't want to teach a horse to step off from the rein. The step off should always be from the leg or seat. . A loosening , or opening, of the rein in and of itself, should never be a sign for the horse to move on. It might be that you are also signalling for it to move on with your seat and leg and I am not seeing that. So forgive me if I am wrong. I only want to say that a lot of folks inadvertantly train the hrose to go forward as soon as the loosen the "brakes" (reins) and this is a mistake. The horse should go off of the seat or legs, and the loosening of the reins, even if a little or a huge loop, should be just that: a loosening of the reins as a reward ., but not a signal to walk on, as if you let go of a "brake" that was holding the horse and now it can just fall forward since nothing holds it back.
I like how you are working with this horse, I like your position. Look up more, though.