Can I begin my work on October 1 with approved H-1B COS petition while waiting to receive the corrected approval notice?

I suggest you direct your question to the companies attorney who has the documents and correspondence and can verify whey you are authorized to...

What are the probabilities of my case being approved?

Based on the facts you have presented you are eligible to a provisional waiver. This requires that you return to Mexico for a short period of time...

Tps to h1

You may have an issue of possible out-of-status time. I suggest you disc this with the companies attorney.

What is the process for proving no US worker is qualified for an EB2 advanced degree PERM?

A qualified immigration attorney who knows the process should be retained by the business enterprise.

Would quilantan work in my case?

Argue what case with who? More information is needed.

You have a number of options. Attorney fees vary. You will need to consult with a few attorneys.

Immigration Question

You need a travel document. You should not use the passport from your country of origin.

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Removal Proceedings and I-485 Case is Reopened by USCIS

Retain an experienced immigration attorney to file a Motion and obtain agreement from ICE to Administratively Close the proceedings to allow you to...

A visitors visa does not require a petition. Your friend applies online. He can get information ad instructions at the US consulate website.

My suggestion is that you leave the UsA immediately to avoid accumulating out-of-status time that may have a serious effect on your future plans to...