How to turn image into paths? [illustrator]

Hey,

I think I'm missing something regarding this. I'm trying to take a png image and race it but then I want to take that tracing and manipulate the paths. Id like to take the image and work with it as a vector, as if I made it from scratch in illustrator. That means change the color of the fill, move the paths, changes he curves, etc.

So I have an image (a png) and I click image trace and I can see the outlines, when I go to outline view. But I can't manipulate the image as I'd like to, as I stated above.

Is there something I'm missing? Is there a way to output the outline I've created?

The image is below:

Thank you,

Thank you,