Do you think that a public school will be good for a private school girl like me?

In your case, it doesn't sound like it will make much difference. You are already choosing to hang out with friends that skip school, fight, drink, etc. So, why are they trying to tell you there will be fights at the other school? No matter what you decide, you need different friends. Maybe a change would be good for you. Any school will be "hard" if you are skip it a lot. Neither of these options is home school, which is where you asked this. You might want to ask in the regular school area, they might have ideas. Home schoolers have no idea what goes on!