How I can know if my green card is safe and there is no error in the approval process

Generall if you obtained a 10 year green card that means that you and your wife were married for 3 years before your green card application was...

Filing green-card from OPT by marrying citizen

It is best to be living in the same residence when filing a green card application. Hopefully you plan on moving to Chicago.

Can I file I-765 (EAD Card) with my I-485 while I have just received an EAD through Student: Post Completion OPT?

Yes you can and probably should.

Married in Alabama and girl lives in Ukraine. How can a divorce or reentry be possible?

I agree. She needs an Alabama family attorney to assist with her divorce and then hire an immigration attorney.

Is filing an LCA & H1B petition 3 days after the termination date, as there is change in the company?

I agree with my colleague. These questions are very fact specific and are best answered by your employer's immigration attorney.

Why is the guyana embassy requesting a joint sponsor?

I agree with my colleague. You should show your I-864 documentation to an immigration attorney.

Is there any influence on reentry to US with a court date ahead? F1 visa

Since you already have an attorney you should consult the attorney about this matter.

Do I need to get my passport stamped for L2 to H1B COS?

Yes since you are going to England you will need to obtain the stamp. The amount of time varies.

I agree with my colleague. Generally scholarships are onl availabel to US citizens or green card holders. You should consult your DSO.

I'm us ctn my husband was deported in 2005. Will this new immigration law help us faster. He was given 10 yrs to re-apply.

There is no new immigration law. A bill was passed in the Senate but it is not law. It is best to consult an immmigration attorney.