Here’s what I was able to come up with using the Blu-ray screencap you provided.
http://screenshotcomparison.com/comparison/205750
This was using only a curves and a channel mixer adjustment in Photoshop. I think most of the issue is in the luminosity. The Blu-ray is very flat and dark, so I almost always need to boost the midtones and especially the highlights while leaving the shadows roughly where they are.
Another thing I’ve noticed with these Tarkin shots, and many skin tones in this film, is that they are too dark even in comparison to the rest of the dark frame. A simple way to correct this with just a channel mixer is to boost the reds and then put some of the green and blue into the red channel, thus increasing its luminosity.
Neverar, what you should do one day is making a video (comparable to those that Williarob has posted for example) where a you show the correction of a shot from the beginning to the end. It would be very instructive !