Yes, without a warrant. It’s in the Privacy Notice in any retail pharmacy.
Impersonating a cop is a pretty big step that’s illegal in its own right but we did have moms trying to see if their adult daughter was on birth control, but that’s pretty easy to stop. Just lock their profile and ask the patient to make up a passcode or only deal with them in person.
I have never seen Discovery and SNW is very enjoyable. I am sure I am missing context, but I don’t think it is significant enough to make Discovery mandatory.