"immigration proceedings" pertains to immigration court (eg. Removal/deportation) proceedings so the answer is "no" if she only submitted I-539...

To qualify for EB2, the US petitioner must sponsor the beneficiary for a position that minimally requires a master's degree or equivalent. Consult...

An invitation letter to support a tourist visa application is not required to be notarized

The "entry date" pertains to the date of arrival in the US on J1 visa, not the visa number

Select "H1B - H1B Specialty Occupations" if you entered and were admitted to the US on H1B ...

A divorce from the H1B spouse would disqualify the ex-spouse for H4 status and EAD

Since the SSN field is optional for beneficiaries, could this be a problem in the application's adjudication? No, it will not be a problem

Does household liabilities include the rent from our apartment? No

The spouse petitioner can cancel the I-130 petition but not the I-485.

The N-400 needs to be filed individually regardless of whether or not the applicants are married couples with kids