1) Where to inquire for the same? 2) Can they do stamping outside USA - with main applicant approval notice?

You should contact the sponsoring employers immigration attorney to assist you with following up on this matter.

Is there another way for him to come here to just see our babies born?

The US immigration regulation is that you must have physically met in person during the last 2 years, NOT that you have known each other for 2...

Is it advisable to extend my mother's visitor visa this year, given the above situation?

More information on the facts of this case are needed to provide any sort of accurate answer. You should consider a face to face consultation with...

No, no need to formally update USCIS regarding a recent change in employment.

Can I apply for citizenship ,I live in USA since 2000 or do I have to wait because of this charge?

I assume the underlying criminal case was fully dismissed upon your completion of what sounds like some sort of pre-trial diversion program (the...

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At what point does the I134 form get submitted during the K1 Visa process?

The answer to both of your questions is the same: After USCIS approves the I-129/F petition, the I-134 should only be submitted one time.

Now what is next step and what are other ways to avoid it ? Is is being said to apply for asylum ?

You have a serious matter pending. Assuming it is your goal to remain in the USA, then you should most definitely retain the services of an...

How long it will take for me to receive green card. Do I have to do anything?

Once the immigration judge issued the decision granting cancellation of removal you in fact were granted adjustment of status. Before the decision...

USCIS has a published Fact Sheet on this topic. Have a read at this link...

Should i apply for my citizenship now?

You didn't mention what the misdemeanor charge was? Misdemeanor charges can range from littering to simple assault. In any event, you should...