Hello I am so glad you reached out for advice and options. There are many nice and smart people here for you to meet. It is a very tough and important decision. I respect you for seeking us out. I am kinda new to this forum also so please wait for more experienced people to answer also.

Both you and your sister deserve safety and protection (16 is the legal age to be legally emancipated in most states... you would be able to receive help directly instead of thru your parents). If you or your sister are being abused or threatened with abuse there is a local hotline/crisis center with a "safehouse". Financial Aid, Job Training, Apt subsidys, counselors, case managers, blended school programs or GED diplomas, etc are available if you choose to explore what they can offer. If you are trying to make sure past abuse does not re-start they can help with a "safety plan" for you and your sister. If you need help just talking about what is happening while you search for a solution... this is a great place... just to talk, rant, and question also.

You can receive support for your emotions handling these many serious choices from others here as you consider options: stay at home, go to your cousins, or plan to get out so your sister can visit you (at YOUR place) and hopefully follow you into adult independence.

I am sorry your parents hurt you. You do deserve kindness and comfort and stability.