Do I have to include my other 3 children in household size Part 5 # 4 for I-864? or only the child I am claiming?

As my colleague from NY indicates only members of your household.

Will I be sent back at the airport cause of my pregnancy? if I get emergency medicaid for delivery will that affect my reenter

Yes you may be turned back at the airport.

Can I participate in a 501c3 research group, with adjustment of status pending but without an EAD?

Adjustment of status based on a marriage to a US citizen 'forgives' unlawful presence and unlawful employment. It is doubtful that what you...

What document can be submitted for her Green Card Application.

If she does not have one and she can obtain one she will need to do so. If a BC is not possible The FAM contains a review of available suitable...

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How is the process to adjust my future wife under J-2? I received J-1 when I was a single

She needs to apply at a US consulate outside the US.

How issue a medical ( treatment visa ) ?

The visa that is often utilized is the B-2. You apply directly at the US consulate. Obtain evidence of the treatment from the US treating facility...

Travel outside USA on H1B within 6 months of visa expiration

Travel is permitted with a valid visa, passport, maintenance of status and evidence of current employment. Before travel confer with your...

What should i opt for? Will my F-2 visa be cancelled if F-1 visa is denied in my home country?

You may be permitted to study as an F2 if incidental to your status. If you need the F-1 within a month you will need to process outside the US....

WHEN FILING I130, SECTION C :Q 2 DO I LIST HER FOREIGN ADDRESS OR OUR US ADDRESS? WE ARE FILING 130+I485 TOGETHER!

Recommend that you discuss directly with an Immigration attorney. A mis-statement may be cause for significant issue in the process.

Citizenship and Tax Return. Please Help.

Filing a joint return is not a requirement but is helpful to establish that you live together.