Your parents will need to do a medical exam locally at the medical facility that is authorized to do them by the US Embassy. Their medical report will either be sent directly to the Embassy by the medical facility or your parents will each be given a sealed envelope to hand carry to their interview appointment. It will not be uploaded to NVC.
We included a letter from Jaycel's Mother and her sister detailing their knowledge and support of our relationship, our excitement to start our lives together as husband and wife and their knowledge of our plans to build a life together in the US as a married couple.
We use USAA Bank which is used to seeing foreign passports of wives, fiancees, etc., so that may have made the difference. For those that don't know, USAA is for military members and their families.
Just as further information, for those adjusting status and have the EAD card but not their green card yet, the EAD card (I-766) is a REAL ID document, so if you want to use that to travel domestically, TSA will accept it.
Yes... We included a Certified True Copy of our Marriage Certificate. Luckily the County Clerk here makes it really easy to record the completed certificate and get copies. We got married on a Friday and went to the Clerk on that following Monday, had our certificate recorded and walked out with 10 Certified copies all in about a 20 minute visit.
The only vaccine record Jaycel had when she went to SLEC was her COVID Vaccines so on day 2 of the exam, they administered 5 vaccines and she was all good to go. The cost of the vaccines is included in the medical exam fee so it is way cheaper than getting the antibody tests done.
You would put any valid status she has at the time of filing which would be her CHP - Cuban humanitarian Parole as long as you file the application before it expires. You might even want to put "CHP - Cuban humanitarian Parole - AOS Pending Adjudication". I'm not 100% on that last part so if someone with more experience in these matters wants to chime in.....
Like @JeanneAdil mentioned, hang onto your USPS receipt as proof that you filed. The overall risk is pretty low, but since the consequences can be serious I understand your concern 100%. Just try to avoid any encounters with law enforcement and stay away from areas around the border until you get your I-797 Receipt Notice just to be extra cautious.
While technically true, they still are in legal status for 90 days after entry on that visa which is what they are concerned about. OP, do NOT resend the packet at this point. You do not want two AOS packets being processed. Give it a bit of time and remember that Monday was a Federal Holiday. Did you send a G-1145 in with your package to get e-notification of receipt?
At this point the Adjustment of Status review is completed and approved and the Green Card is on its way according to your status update. No reason to worry over it affecting the application. It says case closed on the status because as far as USCIS is concerned, your spouse ment all the requirements to adjust status, approved it and printed the green card. Congratulations!