Is it safe to terminate my asylum case?

You should have asked to terminate your asylum case right after you received your green card. However, you should consult with an attorney...

Can Asylees apply for green card and re-entry permit at the same time?

An asylee should use a Refugee Travel Document for travel until becomes a US citizen.

How can I renew my green card if spouse doesn't want to sign the form but we are not divorced yet?

The application for joint submission must be signed by both, or it will be rejected. You can file a waiver of the joint filing at any time. You...

I want to file new H1 B 2018 from US and I have travel plans to India. Can I travel India?

You should speak with your attorney who knows all the details of your situation.

Marriage based interview done with no i130 transfering to local office

Hopefully, it will take them just about 30 days to get the files.

Can I bring my father and mother in law ?

Your in-laws will need to file for a tourist/guest visas in the US Consulates abroad. The entire process is done online. They might be called for...

Regarding 6 year duration for L1A

You should consult with an attorney. You might be eligible for the L1, but you should really think about your future: L1 is a non-immigrant visa.

The immigrants parents (with visa F1 and the other with change of status for f2)...

Nobody will be able to answer this question without knowing the details of the situation.

You need to get certificates of disposition for all of the chargers and show them to an Immigration attorney who will be able to analyze the...

Application for Social Security number (SSN) while outside of USA?

I doubt that would be possible. You will have to come back.