E2 Executive/Supervisory Position defined?

You and/or your partner need to sit down with an immigration attorney to make such decisions.

We had applied for asylum in San Francisco USCIS Office around March of 2013.

The USCIS asylum office is trying to resolve a backlog of asylum cases this year.

Passport Renewal

Your country's Embassy in the US decides what you need to renew your passport, not the US Government.

Visa Extension

You must apply for an extension of status prior to the expiration of your I-94. It can take 90 days or more to receive a decision from the USCIS.

It usually means that the case is pending background checks, but could mean many different things.

Divorce with kids while immigration case pending

Consult with a family law attorney regarding the divorce.

Please advise me

This is a medical malpractice question, not an immigration question.

Do I need my husband's support when applying for citizenship?

If you are applying under the 3-year rule, you will need to show that you are living in marital unity.

I 130 case transferred

That usually means that USCIS will schedule an interview for the I-130 petition.

I and my son are F2 visa holders. Our visas are valid until 2017. My husband is currently a student and applied for OPT.

Yes, you will need a current visa to return to the US. You will need to make an application at the US Embassy or Consulate in your home country.