Sorry to say, Auto tone and that lot is one of the worst things you can do. it kills all your data something fierce.
If you understand what curves and levels do then you will know how to make it work correctly! Careful iterations and working your way into stretching the data will allow you to keep your stars from blowing (going white), minimise them from bloating (getting far bigger than they should) and give you absolute control on your white balance.
It is one of the most critical parts of learning how to process... is being able to stretch your data over a larger gamut.
The only difference with this image
click here in processing terms is that i have worked with levels and curves to get my base image before moving onto more advanced techniques and no, its not taken by a high end telescope or camera either!
One night if you want we can set up a team viewer session so you can see how to do it right.
Oh on the point you made about the centre of the image being brighter than the outside. That is called vignetting. Flats take care of that abberation.