Hi nucat03,
I sent in the health forms at the end of April. As for the transcripts, I waited until Spring semester ended to send in my transcript for grad school. Actually that was sent on May 21st. I didn't realize that we had to send in another undergrad transcript because I thought they had it already, they sent me an email saying that I was missing the undergrad transcript last week. So I sent that one last week. (I am pretty sure they didn't even get that one yet because my undergrad school is SLOW).
And to answer your question about how fast you have to make your decision....actually immediately....when she called she wanted to know if I was accepted elsewhere when I said yes, she wanted to know if I was still interested in Downstate. Only then did she offer the spot, and she told me that she would call SUNY Buffalo to tell them that I will withdraw my spot.
I think that if they want your decision that fast, it's a good indicator that the waitlists are gonna move fast which is GOOD!
Hope this helps 👍