It doesn't matter. The purpose of monitor calibration is for your screen to match ALL prints - not just good ones.
In fact, it could be argued that it's even more important for your screen to match your bad prints, so you can SEE if your edits are bad before you print them. Does that make sense?
Don't over-think this, my friend. Just calibrate and compare.
Well, to be honest, it sounds like you HAVE found out that it is wide gamut. If the calibration is better, that sounds good enough to me.
And that's good news - it's nice to have a W-G monitor. Just be aware of the browsing and other issues that I discussed here.
Oh gee, turn the pressure nonsense off.
If you insist on having it turned on, you'll need to go to the Brush panel (accessed via the Window menu) and play with the spacing, the smoothing, and (I think) the shape dynamics.
But seriously, turn it off.
Well, I have to think about the method I suggest to you, you see? What works for this photo might not work for another photo.
So, could you show me one or two other close-ups of the problem as well?
This should work:
Download PSD file
Add the Channel Mixer layer first. Then go back and make the Levels layer below it, invert its mask, and paint on gently until the darkness is gone.