I'm thinking of giving up on my best friend
Why would you want to give up on your best friend?
She's not wanting to be my friend anymore and she makes me cry a lot
You should be around people who like you for you and who don't make you cry.  If you think she doesn't want to be your friend, don't let that affect your happiness, just move on with your life.
I also feel like hurting her for ending our relationship.
While it is ok to end the friendship, hurting someone else is wrong. I think you should talk and tell her how you feel she may be willing to change.