First of all, I like your horse. She is nicely put together. She is a very useful looking horse and the Red Dun is pretty.
That being said, she has come a long way from being a wild yearling! However, at this point she is popping her butt out on turns and is way on her fore hand. I would, instead of circling one way for several turns and then the other way for several turns is to go back to the trot and do serpnetines.. so sye is turning both ways with a straight section between. Do not make the turns tight (go to the field where you show the lead work) and ask her to extend on the straight and to collect and slow on the turns. Use your outside leg behind the girth to hold her back end over and use your inside leg ON the girth and have her turn around that.
I would also do some work teaching her to move away from your leg behind the girth (turns on the forehand are good for this).
Don't worry about loping at this point.. get her balanced and round at the trot. Get her balanced so that you can ask for a walk and she smoothly goes from the trot to the walk... and then ask for a trot and get her to smoothly go into the trot from the walk. Eventually you do this from trot to halt and from halt to trot but not until you get the walk very smooth every time.
Work her on the serpentines and figure 8's (that look like two circles with a short straight part where they meet). I would do circles that are a little larger than the ones you are doing here.. so she can learn to bend. The circles you are asking for in the videos are a bit tight for her balance and skill level. She tends to pop a shoulder out or kick her hind end out.
Another thing I would do is get some poles and train her to trot over the poles on the ground. Use one pole at first and gradually build up to 8 poles. Start by placing them to fit her natural stride and then increase the distance a bit between them sho she needs to extend and pick her feet up over the poles (i nail blocks on the ends to raise them up about 6-8 inches after she learns to go over them with them on the ground. When you trot her over the poles, give her plenty of freedom and stand in your stirrups so she can easily raise up her back feet to clear them. This is a gymnastic exercise for her.
Keep up the good work. You have a nice little horse here. If I had known I could trade baler parts for this horse I would have.. heck.. given the person the whole baler and they could strip parts at their leisure! :)