Hey Ferran, good job for first attempt with PI. I was a strictly Maxim / Photoshop fellow, so I know how intimidating the move to PI can be. Keep pluggin', it will be second nature to you in no time.
Actually, i think the background looks pretty good. Are these taken with a luminance filter? Any RGB data in there? One shot color? I would recommend using BackgroundNeutralization and ColorCallibration after DBE. What did you use for noise reduction, ATWT, MMT, TVGDenoise? I usually use MMT on the linear image, then ATWT or TVG later when you are non-linear.
I find a gentle saturation curve on the linear image works well, I use ColorSaturation later if I need more boost.
Finally, the image is oversmoothed IMO. Try an inverted luminance mask to smooth the background and go lighter on the galaxy. As a last step, use MMT to sharpen the image (after you have done any resizing of the image). You can reinvert the mask from above to sharpen the galaxy and leave the background alone.
Good work!
Joe