Since I started getting my period very early...will I go into menopause early too?

I don't think you will. The time you start won't affect the time you obtain your menopause, its a natural process. This was a result of your diet, and all the hormones happening made you an early bloomer, but I think that you will get your menopause at the right time naturally. The only thing that could affect your menopause is the diet you have around the time your supposed to get it, just how your diet affected you when you were a kid, may affect you later, but the time you started your period won't affect the time you get your menopause.