Do I need original I-129 and I-797 documents for H1B stamping in New Delhi, India?

As a precaution it cannot hurt to have copies with you.

A US citizen and a non-citizen spouse living abroad. How do we file for a divorce?

You would probably file in the jurisdiction you are living.

For divorce, who must file the complaint? A citizen or permanent resident?

Either of you can file the complaint. The divorce should not harm you in the future UNLESS CIS has reason to believe that your marriage was not a...

When I can get ID and Drive License? I already have done my biometrics.

Normally once you have an EAD you can be issued a DL and ID.

I am currently on L1-A visa & my fiance is a US citizen. Can I quit my existing job and still remain in US while waiting for WP?

Once you marry and file for adjustment of status you can. It is always best to maintain status but so long as your relationship is in good shape...

Should I apply for legal residency after having a closed asylum case will it hinder my request?

The mere fact that you applied for asylum will not hinder your request, BUT information that you provided in that application MAY if it turns out...

I agree you may want to leave for the one month "gap" if there is no other option.

Someone is completing his L1B visa.

If those are the only applications and both are denied he would probably have to leave. Yo do not mention if there is any other pending or...

Deportation terminate by immigration judge

It is hard to say without knowing more. If you do not have an attorney, this would be a good time to have one review your case

I have dependent A2 visa from my parents and can we apply for green card?

You should meet with an attorney to discuss in detail.