I made through the H1-B lottery, but my sponsor gave up on me – can other company sponsor me?

No - H1 is employer specific so new conpany can not take over petition of 1st company.

If you dont file a tiemly I-751 you risk losing your permanent resident and being subject to removal proceedinga.

I am going to file my marriage based adjustment of status after I move to a new place. Should I use my new address?

Absolutely. Application should have current info and will also ask for addresses for last 5 years. You will need to supply evdience of joint bills...

Do I need to find a co-sponsor? And can I file I-765?

Since your husband has a green card and is not a citizen, he can only file I130 for you - you can not file i485 and I765 until he is a citizen or...

How long after filing a i130 do.u get an approval?

Should be soon. Not a priority to Immigration because the quota is backed up a couple years for spouses of permanent residents.

My mother have a green card that was issued on 1987, never renew. Can she apply for Citizenship? She is 73 yrs old.

She can apply. Her permanent reaodence was never taken away it was only the card that became outdated.

Can I switch jobs after getting my employment authorization (I-765)?

Once you receive your EAD you can work anywhere.

How can I get back my green card?

You can apply for your husband now and upgrade it to spouse of a citizen when you become a citizen. You can apply for your mother as soon as you...

Can I tell that I was arrested even though I wasn’t charged or anything ?

Absolutely. And get certificate showing no charges brought or case dismissed.

What am I suppose to write on my i864?

You are the sponsor, you must fill out the form and put 0 under income and include an affidavit that you dont work and therefore arent required to...