Your White Balance is off. Did you use the pop-up flash or another? The pop-up flash has an ideal range and if your subject is outside of this it won't be correctly illuminated.
As you have just bought the camera, I would experiment, as you appear to be doing. If you shoot RAW, you can alter the White Balance later. Given how cheap memory cards are now, I don't bother shooting JPEG's. The RAW file includes a jpeg that you can extract if you need to, so shooting RAW & JPEG might also be considered a waste.
You will quickly find that, if shooting a lot indoors, you will move to other forms of lighting. Note also that if you have large areas of uniform colour, you will need to keep the ISO down to 100 or 200 to avoid digital noise.
I have only had mine for a couple of months, but found the digital handbook from bythom.com to be invaluable.