This is a good start. Now you need to expand the powers a little bit and explain what they do.
And about the story of the world.
The basics are:
The world is the modern world as you know it, but hidden to the mundane (people without powers) population exist the Hidden World (Not an actual place, just a word to describe people with powers) You have tech-based powers, genetical, alien, magical, Ki, divine and much more. Different countries have organizations that regulate the Hidden World activity and try to keep it hidden. Other organizations are focused on mercenary work or other objetives.
It's a good start! What you could include for her history section could be a few more details about her. Where was she born? How did she get her powers? What does she do for work? Just the basic stuff to tell us more about her.
Ok, I appoligise about that. What I make a charge toe I want them to be wraped around the story line if you get that I'm saying. And I appoligise about the powers also, I want to know how they worked before I got into detail about them.
No need to apologize. There are a whole bunch of different storylines going on, so wrapping around all of them could be quite difficult. Just write about where she came from, how did she get her powers and how those events turned her into the person she is in the present.