this is the start of something big hun, and it will only get worse if you dont seek out help now while this eating issue of yours is small.
you can be a slim 5' girl at 16.
and by achieving that, it means eating healthy meals, exercising at least 3 times a week. you will be destroying your body if you keep going down the route that you are going down now.
you wont gain a ton of weight back if you start eating normally again if you introduce foods back into your life slowly and get the help of a dietition or nutritionist to help you do this professionally.
Broccoli is healthy for you, its not going to add on a ton of weight if you eat some. none of the foods that you are eating will do that right now, they are healthy foods, but you need more than that, like protine, grains, more calcium, fruits and veggies..if you deny your body these things your body will be too weak to do anything.
you should talk to your parents about this so you can get some help with this, ive been where you are and still am to this day sometimes, you cannot get better on your own.
good luck hun