Do I need to legally change my name to my husbands name in order to petition for him to come to the USA on a green card?

I agree with my colleagues keep your name if you like and it should have no impact on your spousal petition.

There is no requirement for an invitation letter. If you want to send on send it to your parents who in turn may present it to the US consulate.

Husband on L1B next month leaving USA wife moved from L2 to H1B.

With a valid H-1B status, your wife's status is not dependent upon you. You may depart and she may remain.

I have SSN and ITIN and my visa status changed from H4 to H1. Do i need to cancel my ITIN?

You do not need to do anything with the ITIN number.

H1b expired, i-140 pending

You may be able to have more H-1B time authorized based on the approved I-140 but you will likely need to depart the US if you have overstayed....

I only have "Admit until date" in my I_94, Is this the response for question number 14 as authorized stay in I_130 form ?

If there is a date that that stay is authorized until on the I-94 that is the end of the authorized stay.

L1B RFE and going for F1 Visa consular interview

It should not affect an F visa issuance.

Questions along with conditions are mentioned in Add details section below.

Best you speak with your immigration attorney. EAD may not be filed with H-4 until there has been an an approved I-140 for the H1B spouse.

My fiancé wants tourist visa but got charged with fight in military court. Can he get visa?

UNless charged and convicted a fight should not be a bar to a tourist visa. Having a Fiancee may pose an issue.

My wife entertered the us legally on a crew visa and we got married. She is past her 29 days but would like to go back to work.

Your wife will need to depart the US and seek resident status from outside the US. If she remains more than 180 days in the US without status she...