I-864 filed (Affidavit of Support), got divorced and ex-spouse is now remarried. I pay $400/month on alimony. Review possible?

Love to help you out but you have posted onto the immigration forum.

What am I responsible for as a sponsor in the F4 case?

You may be responsible for reimbursing the government for any means-tested benefits received by them. Welfare benefits can fall into that category.

Marriage Before Master Hearing

The facts of your case scream that you should get local counsel ASAP. A forum like this is not good for advice, only helping to understand the law.

How long does it take to get a U.S. Refugee Travel Document? It's been 120 days already (included weekends).

Processing time is all over the place but 2-6 months is a good guess. You are 4 months into it so you might meet your end of December goal.

Appears you have done all you can do at this point. Ball is in their court.

Traffic tickets are usually not reportable and based on your facts the proper answer is no.

What is the way out if I intend to drop my green card petition through my husband whom I am not with any more?

You can send a letter to the service center handling the petition and withdraw. Be a good idea to send a copy of the receipt with it.

Adjustment of status through marriage.How long I need to wait after Court marriage in US?? Weeks ;any months??

The I130 and I485 can be filed together with processing time of 6-12 months depending on a lot of factors not mentioned in your post. In your...

Permanent Address issue for Adjustment of status through Marriage---I am on F-1 visa and on OPT and working as IT contractor.

Emphasis should be placed on a common residence not the change of one.

Am I a asylee or permanent resident?

Simply stated your status is that of an Asylee.