The Drapers and the Hobarths are shown enjoying alcohol during intermission of the Broadway show "Fiorello!" but Broadway theaters did not sell alcohol in 1960. Concessions at Broadway theaters at the time were very limited and, until bars were installed in the early 1970s, the commonly available beverage was an off-brand orange drink sold in a carton.
Betty Draper (and/or January Jones has obviously never shot any sort of weapon as she has her thumb wrapped around the barrel of the BB gun, obstructing her being able to use the sights to even come close to hitting a pigeon.