What exactly are you trying to get from this post? I dont know how her regular movement is, and i wouldnt necessarily think she'd be fiesty either, if the person in the round pen was more consistent and had some training themselves. Throwing yourself at the horse is bound to make them act up. Nothing about that round pen video says experience. Looks like green on green and around here that = black and blue.
On the bareback video, i only watched for a moment. Again... not sure what you are trying to accomplish? If i entirely missed the point of this post, please feel free to clarify. I assume you are in another country based on the background, so I don't want to make hasty judgements.. i udnerstand people do things differently everywhere.
If you truly want to make some progress with your mare, I would suggest youtubing some video of groundwork and lunging. I truly am not trying to be harsh, I just see the making of some serious mistreatment here.