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I'm sorry to hear you're feeling like this.

Do you think your parents would take you to see a dietitian or at the very least your primary care physician to see if you truly are at an unhealthy weight and also give you ways to get to a healthy weight without starvation? They can help develop a diet and exercise plan to get you to a healthy BMI without dropping into unhealthy weight territory.

Remember you can be healthy at any weight, or unhealthy at any weight. Eating healthy and following an exercise plan, as well as things such as getting an appropriate amount of sleep and listening to your body's needs overall are more important than the number on the scale. Being underweight can cause a whole lot of health issues just like being overweight can, and some of those issues can potentially be lifelong or even fatal.

I might come back to this later and add more, but keep your head up!
Dez