They have updated the state.gov website now too, so that's good.
The clinic asks for 2 passport photos in american sized
The letter from the embassy
And vaccination records.
I am not Swedish, so I got my vaccinations in the UK, I had to contact the NHS and get print outs of the vaccinations from there and they were able to help me, maybe contact the Swedish health service to see if they can find the evidence of yours? The only one I needed was the Hepatitis one and I got my 2 doses in during the summer. I think they'll give vaccinations that you need at the appointment but it'll cost more. it's probably cheaper to try to schedule the ones you don't have befhore the appointment.