Likely, either apply diplomatic pressure to the saudis and get them to stop doing these things to migrants or restrict what weapons they can purchase. Or other diplomatic consequences.
has it always been "name of president administration" in headlines rather than US government? or is this just a recent trend? or is there a difference between the two?
It's always been that way. Some government officials are unelected and therefore not attached to any administration, this is called the "deep state". But generally administration and government are used interchangeably.