I must say, I was laughing extremely hard as I scrolled through those photos, haha
As some have suggested, I would do bounces when free lunging her. That way, she will most likely get the correct form if she has to land, and immidiatly jump again. I don't know if its possible to land and immidiatly jump again with her front legs like that... Maybe she can, though! Personally, I think that would help a ton! Anyway, thanks for the pictures, she looks hilarious!
I don't see anything immensly wrong with her jumping, and in most of the clips in that video, it looks actually very good. I don't know if you could necessarily blame her jumping on being green though, its just... her... in my opinion at least. A TON of green horses do NOT jump like that... she just has her own odd way.
But, yeah, I think bounces would help a ton! Canter bounces, one stride (about 10-12 feet apart) depending on how big the horses canter strides are, and... 1.5 - 2 feet high.