JR fired Himes because he said on Chet Coppock's radio show that no one could get along with him. Have no idea if that's true or not since I don't know Larry.
There was also speculation which I've never been able to prove that JR was very upset with Himes when Larry refused to trade prospects for pitchers like Mike Scott during the stretch run in 1990. Torborg told me that JR called him in Minnesota to find on "what's going on" after the A's were able to get both Baines and Willie McGee at the deadline when the Sox were below them in the standings and had the first crack at them
As far as Torborg, read my interview with him. Schueler fired him basically because he wanted his own man loyal to him. Jeff was hired by Himes. I don't know if JR had to approve Jeff's firing or not.