Is a body weight of 125-135lbs normal for a 23 yr old 5'8.5" female?

I seriously feel fat. But I eat whatever I want. Not healthy mostly white bread, sweet, and other refined carbs. When I eat under 1200 calories and mostly fruit and veggies, I get down to 110, but at my height it's anorexic looking. I need help trying to find a balance.