Has UNC accepted students from your HS in the past?
It is really impossible to chance you, as UNC is seriously competitive for OOS students. Spend time on the essays and make sure you have safeties.
Acceptance into the Gillings School of Global Public Health at UNC is very competitive and not guaranteed. Is public health at the other schools on your list less competitive?
Good luck. Apply wisely and you should have many great options!