Frog, in your first images posted, whatever you did in post processing gave the pictures a very unnatural appearance and a sort of "posterizing" effect especially on Dads beard area. This can happen from moving the saturation slider up way too much, and/or from many other treatments in PS. If your not sure what you did, none of us are either. . .
I agree with Cindy in that the unedited versions look best, other than the poor lighting on Dad in the bottom picture.
I notice that in your cameras settings, you have the contrast, saturation, and sharpness settings all at "2" This means that the software built into the camera is already applying increases in these areas, which may or may not be needed. Perhaps that may be a reason why your son's face comes out red often. Try leaving those settings at "0" and do a basic adjustment in Curves or Levels later on in Photoshop. Photoshop is better at performing these edits than the in-camera software.
I like the moments captured in both shots, and the crop in the second image was a good idea. I would leave the crop a bit looser though.