What are my options for staying in US to raise my minor US citizen children, if my spouse wants to walk out of marriage?

You will need to see if you qualify for your own independent status (either work authorized, student, etc.). In order to assess all your options...

Iranian refugees in Turkey who are waiting to go to Canada

You will need to check with a Canadian immigration attorney - this forum only deals with U.S. immigration questions.

Which one of the two forms N400 or N 660 have to file the child of us naturalized parent or specified the form if differ?

The child would have been naturalized through the parent when they naturalized. The child should apply for a certificate of citizenship, via Form...

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What are my options?

This is not an immigration issue. You need to consult with a family law attorney.

DS 160 Has anyone ever filed an immigrant petition on your behalf with the United States Citizenship and Immigration Services?

An immigrant petition is a green card application. And H-1b petition is not an immigrant petition.

I have been married twice, each marriage lasting 5 years. Both times I was married to a foreign national.

You are going to face a great deal of scrutiny when you sponsor your current spouse. If you want to have any case of succeeding, schedule a...

My divorce was not finally completed before I remarry, will this denied my petition or even lead to deportation?

This is very serious. It is very possible that this could lead to the denial of your petition. If becoming a permanent resident is important to...

Question regarding H4 to H1 change of status

As long as you file the application to change status, while you are still in valid H-1B status, you will be authorized to remain in the U.S. while...

H1B premium filing

If the H-1B and H-4 applications are filed together, the USCIS will adjudicate them together, if filed via premium processing. If they are not...

After employment based immigration I-485 approval, does the USCIS perform fruther investigations?

The USCIS may investigate if they believe fraud was committed, but is more likely to come up if you apply for naturalization.