I'm done so with my family thinking they can look down on me. What should I do?

I'm currently 17 years old - nearly turning 18. I'm the only one in my family excluding my parents that has never been kicked out of school, passes all my exams - my lowest grade being a B and I work hard for everything I do. Yet I still get grief when I come home.
When I was 16, I got a job as a teacher. Therefore once I was getting paid, I was no longer dependent on anyone at home. I paid for everything that own- I bought a mac laptop pro, iPad and iphone 5s. These were a few of the rewards I got for myself because I earned it.

Because I'm the second youngest every older siblings think they can look down at me and think I should obey everything they say as if they are my creator- and then everything that happens as a consequence I get blamed for.

1) recently, all my siblings were helping to clean up the house - I did too. But once I finished doing one chore and I had to go to an appointment. My older brother who is 25 and came that day to visit said I can't go anywhere without mopping the floor. I told him I had to be somewhere and he said if I left I would be on trouble. I left anyway and when I returned I could see my laptop charger was missing. He took it and now he expects me to apologise. I have nothing to say sorry for and therefore I ordered a new one.

When I start university in 2015, would it be a good idea to live on campus to escape home life? And
If I see him again, I know I will argue with him so what should I do?

It sounds like you already know the answer to that first one. If you can't study at home and your family doesn't support you it would probably be best to move on campus for college. Since you don't want to start a fight, when you see him, take some deep breaths, and try to relax. If he tries to talk to you about the charger, just calmly tell that you will not be pulled into apologizing when you did nothing wrong and have nothing to apologize for. He is not your in charge of you. Your mom and dad are. You might also add something about keeping your room locked from now on unless you don't have your own room. In which case I suggest getting a trunk with a secure lock on it to keep your stuff in. That way you don't have to worry about your ability to do school work being jeopardized if you are unable to get on your computer. After stating that, just walk away. It takes two to tango and if you're not there it would be awfully hard to argue with him if you aren't there. If you really would like to reconcile your relationship with your family you might also pray to God about it. He's the ultimate parent. I hope this helps. God Bless.
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Campus all the way! New experiences new people (not all good tho lol)