Well, I think you hit the nail on the head with skin color. A few more thoughts are.......
The blacks in the clothing have very little detail. In the large view of the image, you can distinguish Dad's collar but the button down is barely noticeable and everything else is just black.
I think your focal point was on the tip of Dad's nose. The eyes are soft to OOF on the child.
Mom's fingers creeping in from the bottom of the frame are well, creepy. Had she placed her hand cradleing on the line of his shoulder, I think that would have had a much more loving look. Not only would we see her whole hand, this would've given an endearing effect of affection.
Now, what you've done right and it is rarely seen here in family portraits. The lines you've creative for an intimate family portrait is very, very good. First off, nobody is static. All the shoulders, even though Dad is square to the camera, are at an angle. This is good. The imaginary line from Dad's eyes, going through child's mouth and ending with mom's eyes is fantastic. This is very dynamic and showing the personality of the family unit. The closeness, heads touching along with the happiness, displays a love shared. Well done.
It looks like you used (at least) one off camera flash (main) and one on-camera flash (fill). Because the fill is such a tiny pin point, I might be swayed to clone that catch light out.
Thanks for sharing.