I can't help thinking that the scarcity of children which led to the rise of Gilead hasn't been given much attention in the flashback scenes.
I know that the maternity ward when June gave birth to Hannah was empty, but that has pretty much been the only reference.
Instead of needing your husband's signature for birth-control pills, why not go the whole way and ban contraception?
They possibly missed a trick by having June collect Hannah from the hospital. If she had picked her up from a half-empty school with unused classrooms etc, that would have had an impact. June could still have had a very similar conversation with a member of school staff, that she'd had at the hospital.
Conversations with June's other friends (guessing she had some, other than Moira)/colleagues about how fortunate she is to have a child when they are so desperate.
Even a throwaway line when Emily showed the student the photograph of her son and wife would have an impact - I think the student's reaction was fairly standard "cute family" or words to that effect. No indication whatsoever that Emily having had a baby was the exception rather than the norm.