Your landlord can evict you if you do not pay the rent. You can try to ask for some leniency but he is not under a legal obligation to do so.

Can he hold me accountable to a lease that is void and I still refuse to sign a new one?

Seems like you should just continue to work with the legal aid society.

How do I protect myself If my landlord does not respond to any of my emails (Landlord does not live in the united states)

Is there any kind of property manager or U.S. representative you can reach out to?

Can he legally stay in the USA while she applies for him? Can he attend HS ,get work permit , Driver Lice while app is pending?

No, he cannot unfortunately he will need to go home and wait.

WhaT lower should i go to? Immigration or divorce one?

Possibly, since Im not sure how he can get you out of his case without you talking to USCIS.

Can i have my h1 visa on my maiden name though my passport is of my married name?

It's true, your visa will almost certainly match your passport.

Invited to speak at a conference abroad while having TPS

Yes the university should write a letter

How can I get child's passport renewed while going through divorce; after getting divorced?

Speak to a family attorney ASAP - do NOT take your child out of the U.S. without doing so because you could be accused of kidnapping (ridiculous I...

Is my visa valid if I change my petitioning company without getting it stamped from the same?

It doesn't seem like you will have a visa from the first company.

Can i stay for the rest of period ?

It seems like you have effectively ended your status