Hi Jessica,
That's all ok, is quite common to need a photo ID, or so I have heard. It is just start of day in Australia right now, I'm a couple of hours ahead in NZ. You can wait until you hear, or go ahead, talk to the DHS see what they need- a photo from your phone might be fine - it is just ticking the boxes, making sure everyone is who they say they are, getting the right meds to right person.
I know it seems really unusual to be importing your own medicines, but it really isn't, is routine, and there is routines to go through it.
Why it seems so intense, I think, was for me, is this isn't just any mail order package!! Our lives and futures are in it. Sounds like yours is close!