Carol is pushing the kid away in case she has to shoot him in the head. Once was probably enough for her.
She definitely has a permanent solution for spouse abuse - "you're going to have to kill him". For good people, Rick's group pretty much kills everyone they come in contact with. Hate to think what would happen if they were "bad" people.
Interesting developments in the show, though. I was afraid things might calm down after they got to Alexandria. Deanna hasn't heard of her son's getting et by walkers, wonder how she'll take that? Speaking of which, that group sure is ripe for a hostile takeover, running away from danger and leaving each other to die the way they do.
And I still want to know where they're finding all this 5.56 and 7.62x39 ammo and fresh gas two years after the Apocalypse.