I WAS BANNED FROM THE UK FOR 10 YEARS BECAUSE I LIED ABOUT MY NAME BEFORE I LEFT THE UK USING A TRAVEL CERTIFICATE IN EXITING

This forum is for US immigration law

If 2 H1B visas are applied for me by 2 employers. Will one of them gets rejected and the employer will know why it was rejected.

No

Do I really need to submit a form and pay (I forgot the amount) for me to change my last name to my married name?

Yes, or you can wait until you naturalize www.immigrate2usa.com

Immigration

not for the I-130 www.immigrate2usa.com

My case in EB2 has been audited. How long will take DOL to finish the audit? Is there any current priority date?

It can take a long time as they obviously have questions about the case and only your sponsor can\ obtain the status, or the lawyer for your...

MY HUSBAND WAS ARRESTED ON SATURDAY NIGHT FOR HIS FIRST DUI I POSTED HIS $1500 BOND TODAY BUT HE HAS AN ICE HOLD ON HIM

72 hours

What type of form do I need to ask forgiveness to immigration after deportation?

There is no forgiveness , only very very difficult waivers

Will my green card being expired affect my custody hearing or my divorce?

Just because your green card is expired, does not automatically mean you have lost your status. More info. is needed to make that determination ....

Yes Please see http://www.ilw.com/articles/2006,0110-wheeler.shtm

Going back to school after filing I140 on F1 status

You can try , but it may be difficult to show you still have "non-immigrant intent" when you are now the beneficiary of a visa petition Check...