Aww she's such a sweetie :)
Try when you steer, I know you're doing open rein, but make it a fluid open rein not a jerky open rein. Guide her whole body that direction while you guide her head.
Also I didn't like your walk to trot transition... it looked like she startled.. and then jumped into it.. I would have wound her down and did it again so she knows not to rush it or to be scared of anything.
Do not drop your hands... bad bad bad! You want to encourage her to soften, not confuse her with the weight of the reins changing (which can be felt via the bit)
But overall very nice! :) I think shortening your stirrup one hole will help you feel more secure, but be careful not to force yourself up when you should let your pelvis swing softly with the horse for posting.
"Strength is the ability to use a muscle without tension"