Guy: What do you want, fucko? You want some? Henry: *immediately beats him in the face with a gun about fifteen times* I swear on my mother if you touch her again you're dead!" *hits him again*
After beating Batt's to death and moving the body, Tommy apologizes to Henry in his own way.
Tommy: I didn't wanna get blood on your floor.
Jimmy's Manly Tears after Tommy is killed, showing that underneath the psychopathic nature, he did have a good friend he cared about and meant something to him.
This also shows when Jimmy and Tommy tells Henry about Tommy being made. Jimmy actually seems more excited than Tommy, acting like a proud father who's son made it into Harvard. Jimmy beams, "We're all going to work for this guy some day!", not even caring that he's basically going to take a back seat theoretically in the crew he runs. He's just so happy that his protege accomplished something an Irish-born like Henry and Jimmy couldn't.
It's subtlely implied that Paulie intentionally gave himself contempt of court so he could be there for Henry during his first year in jail.