She is a very pretty horse, and looks to be very easy-going. One thing, if I were you, that I would try is to walk around less. It looks like she is dragging you all over the place. Also, I think it would be beneficial to both of you if you tried to stay behind the drive-line. This looks like the start of something very great, though. She seems to respect you a lot.
Thank you very much. As far as respect goes, I like to think I'm the only person who deserves the respect that she gives me- I'm the only one who gave her a chance, and believe me, she doesn't respect you easily.
She looks nice. Just make sure she picks up the correct lead first. Don't be afraid to walk, but just make sure she isn't dragging you.
As for the jumping, don't be afraid to go higher when lunging. There's no rider so there's no extra weight and no risk of injury from an outside force. She looks like she has some potential, but with all green (right?) horses, you just have to refine little by little.