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Only speak to her in English from now on. Only respond to her if she speaks English to you. You will be surprised what a push this will be for her.

No, you're not married in the eyes of US immigration unless you get married again, legally

Sometimes a primary care doctor will prescribe them, but sometimes they will not, and will refer you to a psychiatrist. 
 
I cannot imagine a psychiatrist that will simply prescribe to you without a complete initial assessment, and a therapy session or two at least as a follow-up. 
 
Note that because of the abuse potential, US doctors are now very leery to prescribe benzodiazepines or other tranquilizers, and probably never would based on your word alone, so be sure to get copies of your psych records and prescriptions to bring to the US. Also you can usually get a 90-day supply to bring with you (customs doesn't want to see more than that).

Yes, Medicare Part A would be free after 10 years of work. After he has a green card for 5 years, he can get Medicare at a reduced cost if he has worked at a job that pays into Medicare. He will already be 65 so no problem there.
 
Part B is not free for anyone. Right now it's about $148 per month. You can read about it here:
https://www.medicare.gov/your-medicare-costs/medicare-costs-at-a-glance
 
Also very important: Medicare A & B together only pay 80% of medical costs. He would either need to buy an additional "medi-gap" policy or join a Medicare senior health plan like an HMO if he wants full coverage.
 
Yes, it's a mess. And it may change in the next few years, hopefully.

Yes, Medicare Part A would be free after 10 years of work. After he has a green card for 5 years, he can get Medicare at a reduced cost if he has worked at a job that pays into Medicare. He will already be 65 so no problem there.
 
Part B is not free for anyone. Right now it's about $148 per month. You can read about it here:
https://www.medicare.gov/your-medicare-costs/medicare-costs-at-a-glance
 
Also very important: Medicare A & B together only pay 80% of medical costs. He would either need to buy an additional "medi-gap" policy or join a Medicare senior health plan like an HMO if he wants full coverage.
 
Yes, it's a mess. And it may change in the next few years, hopefully.

She cannot file for unemployment. That would be fraud, because she would need to be able to accept a local job, which she could not do if she's not back home.

For the future: As long as you continue to file your annual US taxes, and then start filing as married, and have all the usual shared financials, life insurance, wills, shared names on everything, etc. the green card process will be so much easier. Especially after two years of marriage.

For the future: As long as you continue to file your annual US taxes, and then start filing as married, and have all the usual shared financials, life insurance, wills, shared names on everything, etc. the green card process will be so much easier. Especially after two years of marriage.

Someone who objects to the relationship can report the ceremony...a jealous friend...a family member who does not want them to leave...anybody 

Someone who objects to the relationship can report the ceremony...a jealous friend...a family member who does not want them to leave...anybody 

The officer at entry decides how long a person can stay. They could say 2 weeks.

Hope your employer knows you cannot be paid for this time, if you are on a tourist visa.

You may find living in a warmer climate stimulates a transition to wanting lighter food choices. 

Are you considering citizenship for her so she can buy into Medicare? Assuming she has not worked in the US,  2021 rates for parts A & B are nearly $500 a month, and since Medicare only pays 80%, she'd need a medigap supplement policy which are running nearly $300 an month, and then there are all the co-pays that she will have to pay out-of-pocket. So can she afford about $1,000 per month?
 
 

Back in force 
 
https://www.uscis.gov/green-card/green-card-processes-and-procedures/public-charge/inadmissibility-on-public-charge-grounds-final-rule-litigation

If your LPR husband files for her, it would be an F2b case.  She would need to stay unmarried when she steps foot in the US with her immigration visa.  Her children will be able to immigrate with her.  The current wait is about 7 years.  After she gets her green card, she can return home to marry her fiance.  As an LPR, she can petition for her spouse in the F2a category where it takes about 2 years for an immigration visa.  There is no way to avoid the separation while he waits for his visa. 

If she marry while her father is an LPR, then the case is void since an LPR can never have a case for a married child.

If your husband becomes a US citizen, during her wait, then it would become an F1 case as long as she is single (US citizen petitioning an unmarried child over age 21) and the current wait is about 7 years. In the F1 category, her children can immigrate with her.  Once she's an LPR, she can go back to marry and file a F2a case.

If she subsequently marry when the case is an F1, then it becomes an F3 case (US citizen petitioning a married child) and the current wait is 13 years.  In the F3, her spouse and children will be able to immigrate with her.  

If you file for her while she is single, then it would be an F1 case.  If she subsequently gets marry, then it becomes an F3 case.

As you can see, there is no quick way for all four of them to immigrate to the US.  Essentially, there are two choices.  Choice one will be for her to remain single and immigrate to the US with her kids first in about 7 years, go back to marry once she's an LPR, and then file an F2a case which takes another 2 years and they will be separated.  Choice two is to marry and wait about 13 years for the entire family to immigrate together.  

What does your father do? Is this something he can do in the US?

And if your kid and the baby scream and cry throughout the interview? How do you think the interviewer would react? Could you accept a reschedule? 

I would have here come back right away. Like NOW. There is already a second wave happening in Europe, as bad as in March. Plus there is the regular flu coming soon, which is easily spread.

Go to Germany, marry, get a DNA test for the child while you're there, come back to US, get a good attorney to handle the rest

Nobody mentions COVID?
 
I would not let her back in the house If she is that irresponsible until she gets tested and quarantined.

Nobody mentions COVID?
 
I would not let her back in the house If she is that irresponsible until she gets tested and quarantined.

If it was a position that was contingent upon winning a contract, then they were probably making sure they filled it with staff that *COULD* pass a security clearance if the contract required it.

May be easier and less time consuming to get DNA testing.

DNA testing is the way to go.