Can very confidently say 5 starts for everything. Was very glad to see that you referenced Papers Please but reverse in another comment because that is the EXACT thing I was thinking while playing!!! I agree with others that having an option to 'turn in' early would be nice. The 2 minutes was just long enough to finish but also properly stressed me out on my first playthrough, but when I messed up and realized what I had to fix, it felt long as I finished much earlier the 2nd and 3rd time.
Having the border rules update to keep track of your previous identities is a fantastic touch. Couldn't quite figure out what the third room was for? (Not the one where you edit your passport or look at the map) Or what format the Identification code should be in, but that may just be a skill issue (I'm playing this quite late at night jaja).
If you decide to take this game further, I would be so excited to see where you take it! The atmosphere is fantastic. I love these styles of games and the pressure / risk does a fantastic job of making me stressed, but not enough to make it a bad experience. I would not be cut out for this job jajajajaaj :p