Cobalt_skies, may I ask what it is that made you choose those goals? I think numbers are not really important. What is important is that you feel comfortable in your clothes and that you have the energy and health to be happy. At your age and weight, you probably shouldn't be doing a diet like this, but should try doing small things first. Like cutting back on snacking, taking smaller portions of food, and getting more exercise.
I understand that you are 13. Kids NEED carbs. Our bodies need different things at different stages in our lives. This could explain why you feel so ill while following this diet.
I would suggest you keep a food log. Write down everything you eat. Post it here and we can all take a look and see if there are any suggestions that might help you out. Also keep a log of your exercise, since that helps!
You should probably ask your family doctor, too, because they may have a diet plan designed for your age and needs that would work better for you