Answers:
I was the only skater in my event so the LOC offered me a critique. My other choice was to withdraw and get a full refund. I simply emailed the organizer and did not sign up separately (I know this doesn't help with your planning!).
The critiques were offered after all the skaters in my warmup were done performing. I was grouped with some juvenile kids. After all the juvenile skaters finished, we went to a closed off judges room for the critique.
Ideally, I would have had my protocol for the critique but it wasn't available yet. But, the judges had extensive notes on the GOE they awarded for the technical components and the PCS. I simply wasn't able to see my final overall score.
The order of the critique was offered in the order we skated.
Feel free to ask more questions!