How much cost for motion reopening the removal proceedings & close them to be able to file (AOS) ?

We cannot bargain with you on Avvo. However, if you like an attorney you can contact them on Avvo and ask for pricing.

Can I go back home after filing asylum application ?

You can leave whenever you like. You can send a letter of withdrawal if you like. But otherwise, just head home.

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Can my US Citizen mother petition for me? (unmarried daughter over 21)?

Yes, once you are a citizen it will be faster. Once you file, it will take several years before your priority date comes...

New York City has its own ID, which you may be eligible for. http://www1.nyc.gov/site/idnyc/card/how-to-apply.page

What do I need.to so to rectify my situation?

If you married a US Citizen, then you can apply to adjust status in the US and ultimately get your green card.

If it abides by the terms of your current H-1b or you obtain a new H-1b covering this work, you should be ok.

What are my options if the case is not scheduled for an interview even if the priority date is current?

I would consult with an attorney to review your case in more detail. There may be issues that you haven't considered that are causing the problems....

How much cost for I-485 + biometric

You can check the USCIS for details regarding the I-485. It might make sense to hire an attorney to assist in this process to save time and prevent...

How can I get the visa to travel with my son American citizen from Brazil ?

Clearly he can reside in the USA as a citizen. The question is whether you can live with him. Unfortunately, he cannot bring you in with a green...

How to close the court order of deportation proceeding after I got my marriage Approval Notice ?

You will need have the order reopened and then closed in order to proceed before you can adjust status. You may also be required to complete a...