Thank you everyone. Everything so far has been constructive and helpful.
I'll leave you all happy to know the trainer was encouraging me to do the same and we worked on it at the walk for at least half of the lesson I just didn't put that in the video. The reason my hands are a mess (and I did fix them in other clips when I felt her being truly forward) is because she is the laziest horse to get going! Because she hasn't been under saddle for long, she hasn't yet (until today) grasped that she can indeed KEEP MOVING FORWARD with rein contact. Before today if you asked her to flex at the pole, she would, but only stay like that in the walk.
Oh and yes her back legs are wrapped. I did not have time to do the front.