When L1 Principal leaves the country on transfer without cancelling L1 visa will L2 EAD which is under processing will continue?

Depends on what "transfer" means. If the L1 continues to be valid, then the L2 should be considered valid as well and EAD should get processed.

Will my two kids that are under the age of 21 be included if I only petitioned for my wife?

Are you a green card holder or a citizen? You may need to file separately for them.

If i can process 2 immigration case

Yes, you can file both.

Can I transit in the USA from France to fly to Brazil if I am currently applying for a green card? Can it hurt my application?

Being in transit is not considered "entering". I am assuming you will not be leaving the airport?

Is NY Criminal Possession of loaded firearm, 3rd degree immigration ground of inadmissibility 22 years later?

You should talk with a criminal attorney in NY. Immigration laws depend on state's designation of a crime.

Does L1b to H1b transfer subject to H1b cap?

If you can find a cap-exempt employer to sponsor you, you can file for a H1 immediately. Else, you will have to wait till the next quota opens...

Can a spouse succesfully complete I-130/etc US petitition his/her parent if he/she did not work at all in the US?

Hi there- It depends on his status. If he is a US citizen, yes, he can sponsor his family. If he does not have the ability to support them, he can...

Should my boyfriend volunteer to deport or reopen his deportation case?

I agree with my colleagues.

What is First step of Greencard

Form 9089 should be filed 365 or more days prior to H1 expiry. See also, https://www.immigrationdesk.com/?p=1265 Good luck!

Selected as the best answer

Hi My problem is related to my traveling on Post Completion EAD.

I agree with my colleagues.