I applied for OPT-EAD card in 2010 (valid for one yr, F1 status). I see an A# on it. Should I use this one to fill on I-140?

Once you are issued an A number, that should be your A number for all intents and purposes.

You can try and locate the record on the USCBP website as a first order of business.

IRS has lost our passports & our H1B/H4 has come up for renewal. Need advise.

You should be able to apply for an extension of status with copies of the passports and previous I-94s.

H1B transfer,8 months left. On extension right now in 9th year. Can I use current I140 to get extension with new employer

Any unrevoked and valid I-140 could be used to extend an H-1B beyond the 6th year.

How do I make my wife a US citizen in america?

Consult with an immigration attorney to discuss specific options and strategies.

Which selection do I make on the I-130 Form for "How citizenship was acquired"?

The closes option would be number 3, in those circumstances.

Married with a Cuban resident... how soon can I apply for citizenship ?

You can file for naturalization 4 years and 9 months from the date of admission as indicate don your green cards.

I obtained a J2 in June 2014. Am I eligible for a J1 visa next year if I stay on J2 status with EAD for less than 6 months.

Obtaining a lawful work permit as a J-2 status holder, in and of itself, should not affect your J-1 visa application.

My18 year old is a dependent on my E2 Visa. He is attending college & wants summer work. How does he get a SocialSecurity # ?

He cannot get work authorization based on his E-2 status.

H1B transfer denial issue. Can go back to Company A again to work.

You could potentially go back to Company A, as long as the petition is still valid and the job remains available to you.