Biometric appointment

And your question is?

Can a US Citizen petition for a relative (sister) that filed bankruptcy at her country.

Filing bankruptcy does not make you ineligible. However you will have to show you are otherwise eligible - earn the minimum income, etc.

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H4 Receipt Notice received - Does that mean H1 is selected in lottery?

That is a valid assumption.

How soon can I come back to US and work legally? If I apply Green Card through my sister ( She is US Citizen)

If you are on H-1B, and your employer is willing to sponsor your green card, it may work out through your employer.

I-94 Issue Could you please provide your valid repose which help me a lot in sorting my current status

You should consult with an attorney and have him/ her review your paperwork. Since you entered the U.S. on F-1 it determines your current status...

Can I form a company Outside US while I am in US and on H1B visa?

While in the U.S. maintain your H-1B status by working with petitioning employer. Refrain from anything that another would do for a salary as it...

Can I co-own a eCommerce website business under L1B-Individual Visa category?

On L-1B you are expected to work for your company as a transferee. If the plan is to create a website, who will "create" it? If you will be...

How to stay in the US legally?

Is this another transfer by the L-1 employer?

Employment based GC in process, but six years up.

What I understand is that they may seek to recapture time outside the U.S. and seek 7th year extension.

Will re-entering the US on an F-1 Visa after being married cause problems during adjustment of status?

A lot depends on what happen after the entry. Did she go to school or dropped out after entry? Your question is fact driven. It is best you...