Couple of things in your NEF files.
One is that you are all over the place in your "Picture Control" settings. The woman is set for "Monochrome" (??). The girls are set as "Landscape" (Which is far more vivid.). Also, you might want to pull the red back to the left in the histogram of girls shot by setting using your camera's Active-D lighting set to "Low" in Capture NX2. This is done using Capture NX2 which you should be using to see what you are doing as you are all over the place in settings. None of the other RAW processors are going to see this, nor know how to deal with it. There is a difference and why Nikon recommends their software for initial post work. I would hope their engineers know a bit more than the other software converter makers, Adobe included.
For fun, I also opened the woman's image in Capture One 6 and it is really saturated on color (and heavy towards an orange) verses Capture NX2 which looks far more natural. Not a pleasant way to go on initial processing. Adobe's 8.3 RAW and DxO Optics Pro 9 aren't as heavy on color saturation as CO, but both are warmer and more saturated than Capture NX2 which seems very neutral and natural. No doubt there could also be an issue with Apple's Colorsync too if you use a Mac which always seems to mess up something or some driver matter with each version.
Aside, I'll agree with the D800 camera's LCD not being all that pleasant to look at over the Canon's LCD screen. In studio it looked awful on the LCD prior to the last firmware update. The Canon looked far better side-by-side. My D800 had a sickly cyan/green color under studio lights, but the images were always good in post. It looks warmer since the firmware update. But I don't rely on it for an accurate representation as it cannot do that. It ain't an Eizo screen!
These were out of the D800E. The girl's costume is a bright red Shantung satin fabric that has a faint texture. The texture is still there. Just have to watch exposure and the Active-D lighting control (and utilization in Capture NX2) to keep it there.http://24.media.tumblr.com/2c8ef2fcbbbd6f7408c296a6e21ee626/tumblr_mp6h4dmzjH1s9g2zzo2_1280.jpg
Her skin coloring, although powdered by a MU person:http://24.media.tumblr.com/2b3df062647757df7f0ca003f9d11adb/tumblr_mp6gtjvk441s9g2zzo2_1280.jpg
Try and standardize your shooting control (maybe "Normal"), check your camera's exposure to see if it is leaning towards overexposure (All my Nikon's do for some reason so I set a minus value into them.), and use a decent converter that shows you what the camera was set on and doing (i.e. Capture NX2). Capture NX2 has a new release out today that is further tuning their RAW converter's color balance too. If you want odd coloration's, use another conversion program.
Interesting learning experience, and made me more apprehensive of using Capture One as well.