Can a prospective landlord, require SSAN/ITIN from a prospective tenant, a legal resident alien, who cannot get such number?

Legal Residents can get a social security number through the Social Security Administration.

Do I need to send an approved H1B extension (I-797 approval) with my wife's H4 EAD extension form?

As my colleagues have pointed out, Premium Processing is always the best choice to prevent any break in employment.

Can I travel outside of the United States with my green card that has my married name and my Mexican passport with maiden name?

You can travel despite the name difference but make sure you renew your passport.

Do I need a sponsor to sign the affidativ of support ?

Do you have a visa? Work permit? If no, you would still need a sponsor. USCIS is not likely to consider your income if you are working illegally.

What if I withdraw my I30 I am the wife from my husband's immigration process can I be get in trouble and what will happen will

You would not be in any trouble if you withdraw your I-130 petition for your husband.

Definitely illegal. He can always reapply for his passport at the embassy and get his green card using form I-90 but my colleagues are correct, he...

I want to withdraw my I-130 and change my ICE bond sponsor.

My colleagues are correct, the petitioner can withdraw her I-130 but it is unlikely that she'll be able to remove herself from your bond.

Change of employer while h1 B extension is in progress after i -94 expiry and before 240 days

It is best not to transfer. For faster processing of the extension you will need to pay for premium process.

I751 form submitted last year and case status is incorrect

On average the I-751 is taking up to 24 months. The Service Center where it is processed makes little difference. In fact, it is often common to...

Is my marriage-based green card processing time based on I-485 or I-130?

If you are married to a USC you can mail both applications together. As my colleagues correctly pointed out, the I-485 will determine the time.