You seem absolutely normal for your age. As mentioned you hardly know about your biological family. You can wait for periods for some more time. You have not mentioned about development of secondary sex characters i.e. breast development, hair growth in axillae and genital area. If that is normal you need not worry for now. you have all chances of growing further for till age 18yr.
You may not grow to 5ft 8 or 9" due to genetics.
But healthy and sufficient diet with lots of exercises like skipping, running, stretching, Tadasan (
Yoga), swimming will help gain a few more inches.
This will help your muscle and bone strengthening too.
Diet- must be balanced, don't skip fats or carbohydrates. Take high protein diet, (animal and plant
proteins), lots of salads and fruits.
Exercise and proper diet will not only help in growth but smooth
menstruation too.