US Immigration from Colombia

My fianc e recently arrived here on a K1 visa and we haven't had the chance to get married yet, however she just received devastating news regarding her grandmother back home. Preparing for the worst case scenario, I was trying to figure out if there's any possibility for her to get an Emergency Travel Document (as explained here https://www.uscis.gov/greencard/greencardprocesses/traveldocuments/emergencytravel) to allow her to re-enter on the K1 visa prior to us getting married. The situation is fluid and we live in a state with a waiting period for marriage licenses so I'm preparing for the absolute worst case scenario in that she needs to leave before we can marry and apply for AOS. Does anybody know if this is possible? I'm hoping that she doesn't need to travel, but just wanted to get the information to understand what could happen.

How fast does it arrive?

My husband is from Cuba and is in the USA, will be applying for green card, can he add his underage daughter who is in Cuba to the application?

My fianc e had her medical examination prior to the visa appointment, however she is missing her vaccination records so we'll need to see a civil surgeon here anyway. Can this be done prior to us getting married, or does it needed to be dated after the wedding? My goal is to have the entire packet filled out and ready to go, so the same day we receive the completed marriage license we can sign and send of the AOS package to have things processed as soon as possible. Just trying to see if there is any reason this is not possible?

Hello fam -

Does anyone have any recent experience after K1 visa approval about how well they deliver in the (suggested) 24-48 hour issuance after approval of Visa and sealed package. My fianc e and I are planning to wait after our Wednesday appointment next month to pick up the Visa on Friday or Saturday. Any recent experience with how they are doing on the processing? Thank you