His EAD might have been extended automatically: June 30, 2024, for current beneficiaries under the 2011 TPS designation for Haiti whose...

They can stay inside the U.S. while their B-2 extension applications are pending at USCIS. They can wait until USCIS makes decision.

No reason to wait. File I-485 while I-130 is pending. I would also recommend you file I-765 and I-131 as well.

https://www.uscis.gov/naturalization-eligibility Check your naturalization eligibility using the link above.

K-1 visa would be faster and she should be able to apply for it even if got B-2 rejected before

Apply to SSA for SSN. You can also apply for your business' FEIN.

They can stay in the U.S. while their I-485 applications are pending at USCIS.

She should maintain her F-1 status after filing AOS. She should stay in the U.S. while her I-485 is pending until she receives travel permit. She...

You can correct it by submitting I-90

You probably can. But before you do, you might want to check the U.S. consulate you want to visit to confirm that they take third-country nationals...