Husband works for a multinational healthcare solutions company and provided an Employment letter (employed since 2014 & $210k salary + bonuses) and copies of their passports and work Visa valid until 2025.

With the Company documents, your passport, and EIN you can open a bank in person in the US. 

Added to that, the wait for a Green Card is very long since I have an Indian passport.

When talking to a lender, he recommended two things:  1) Apply for a loan with her secondary passport as a non resident so she would get good rates.

DeSantis has made it clear no vaccine passports will be required for entry into places like restaurants, but I wonder if that carries over to tenants too.

For example, they may not have an SSN or a driver's license, so I take passports or green cards for ID.

Strategic Group, a major rental housing provider in Alberta, Canada, announced that all new tenants need to show a vaccine passport to live in its properties.

Passport just to have some type ID?

I got only his passport, his phone and email and not sure the address on Yelp is real one or fake. 

Do you think it’s sufficient to ask for a work visa, a copy of his passport, 3 pay stubs, and a few references?