I hate my mother for falsely accusing me of hitting her
Why is she accusing you of hitting her?
She has always been a liar and is trying to get back at me again.
It must be hard be unable to trust someone who's so close to you. She shouldn't be falsely accusing you of something so serious.
I want to kill her now.
You can be angry but please don't try to kill her. If things are not working out maybe you should move away? You don't need to keep in contact with people who are trying to hurt you.