All I knowmis that whatever the exact story is, it all revolves around the kids he adopted.
So, did he violate U. S. law? No. As adopted children, they have become U. S. citizens as far as the U. S. is concerned.
Did he violate the South American country's laws? Apparently not. No one seems to know which country.
Did he violate Ireland's laws? I would guess no, they probably don't recognize the adoption, and the children are probably no longer Irish citizens; but even if they are, going there would just be two children whose mothers had simply tendered the care of their children to a foreigner couple, able to give them a good life.
A bit circuitous, but -- so what?