I'm just a newb myself trying to learn, and this probably doesn't do anything for the color cast but I would...
Go to manual mode and take control of your camera. Use the bar graph in the viewfinder/lcd to adjust your exposure. On the bar graph maybe put the highlighted bar a notch to the right of center (semi-"expose to the right"), this will help stop underexposure. Turn "blinkies"/"highlight alert" on in your camera. This will show areas that are blown out/overexposed in image review on your LCD screen. If you see an area in the image blinking that is important to the scene then lower the exposure by increasing the shutter speed or go decrease the aperture opening by adjusting to a larger f-stop number.
From your image information:
*Drop your ISO down to 100-200...shooting at ISO-1000 isn't needed for these shots and very possibly adds noise to the shadows.
*Lower your shutter speed down a good bit...normally keep your shutter speed at 1x to 2x the length of your lens. For your 50mm lens you could set the shutter at 1/60sec and get decent results...better would be 1/125sec. Those speeds will take care of camera shake. To stop blur caused from subject movement you have to adjust accordingly for the speed of the subject. For your pretty subject probably 1/250sec would have been sufficient. 1/8000sec is *really fast*!! Having said all that about shutter speeds....don't go so low that you do introduce camera shake, the 1/125sec should handle most any camera shake you might encounter with the 50mm lens.
Just thought I mention those items, but I'm probably singing to the choir.
You have a great model to work with!!!!! 
Keep shooting and best wishes,
Ed