First let me tell you what I see in your two images.
Most glaringly they have different exposures (not camera exposures, actual illuminant exposures); the dress on the left has bad magenta and purple fringing, indicative of a lens issue, it isn't traditional CA but I suspect you have an element alignment issue. Further, his suit is a completely different colour in both images.
Looking at the two images from an analytical eye I'd say they give the symptoms of a misfiring flash, one light has thrown a different colour temp light on the subject.
Anyway, I have removed the magenta and purple fringing, I have adjusted the tone curve to maintain contrast but get the dresses to the same level, there are no more blown pixels in either image, and I have made his suit the same colour, but as it doesn't have the same light from the top it doesn't have the contrast, neither does het arm because in the left image it is in her shade and in the right image it isn't.
All in all very workable for somebody with a competent digital workflow, I have made good corrections for a small jpeg, had I had the RAW files I could nail it in very little time.
Most importantly from your perspective the dresses are now the same colour and illumination, you can play with your tone curve as much as you want to get contrast and detail in either now.
My point is all the information is in the files, you are just reassigning values, that is all calibration does, had you used camera calibration in your workflow then at the very least hios suit would have been the same colour in both frames.
First image is my rework, second image is a gif alternating between yours and mine to illustrate the differences. Because of the way our eyes work yours looks way to magenta and mine looks way to yellow in the gif.