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The kicking & rushing your space are both dominance issues which are lack of respect.
I'd do a lot of round pen work with her--lunge her....make sure she is listening to you and get her to respect you. Carry a whip with you. You don't have to beat her with it, but just a few pops if she turns her butt at you....have her turn & face you, without coming towards you. Keep her distance and make her ask you when it's time to stop and YOU make that call.....
As far as leading her--carry a bat and maybe try a rope halter (one that hits all the right pressure points) or even a stud chain on her and be quick & firm when she gets ahead of you.
The kicking is dangerous and maybe worse in some ways than the rushing, but in other ways, it's just as bad as the rushing/running you over. Horses are huge, powerful and even if they aren't trying to hurt you (the rushing, I mean--the kicking, yes she's trying to hurt you)--they can hurt you without even meaning to. I'm a professional horse trainer and I've had cracked ribs and broken toes from horses who had no respect on the ground. Truth is most horse-related injuries occur while you're on the ground.
Groundwork sets the foundation for the way that horse will respect you (or not) for the rest of it's life and once you're on it's back...you're really at it's mercy!
Your filly is also still young....and since she's a slower maturing breed, you've still got time to work with her. The slower maturing breeds do take extra time to mentally catch up, as well...my Peruvians & Andalusians are like that. And so are the Arabs, to some degree. I don't start mine until they are four. But from the time they hit the ground, they are being worked with on manners & respect. It's good that you've started & done so much with her already. I all too often see people that leave their horses untouched until they are two or three & then have to rope them, run them into trailers and then expect them to be finished saddle horses in 30 days!
Just keep up the work, work on respecting your space & letting her know you're the alpha mare!! Horses learn through repetition. Some get it in three or four sessions, others take hundreds of times of repeating the same thing, over & over before it clicks....
Good luck!
~Heather
edited because somehow my wording got turned into "long lining." I meant Free lunging...not with a lunge line and not ground driving, either...maybe it's a coast thing? LOL