I've also got the problam of her bucking and kicking out when I tap her with the whip
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this means she knows that if she kicks out you will stop. This means if she kicks out you MUST keep using the whip on her until she stops.
It is not mean to give your horse a good whack if they have already had four chances to move forwards and chosen not to do it. If you want your horse to listen to you, you must lay down the law or it will not get any better.
Soft, medium, hard, cluck, crop. Its as easy as that.