Yes, you will need to do a new I-864 with your new spouse. As the other attorney mentions, you may want to speak with another attorney to make sure everything is in order for your new green card application.
Well, there are a few options and you'll probably want to talk to a family law attorney, since marriage laws vary from state to state. In some places, as long as the marriage to the other wife is now terminated, you marriage would be considered automatically valid from the date that it happened. In some other places, you'll need to get remarried to your husband.
You won't need to disclose anything to USCIS until it comes time to remove the conditions on your green card - and you'll certainly...
I have never seen a situation where the co-sponsors payment issues were a concern for USCIS as a joint-sponsor. The IRS and USCIS don't talk to each other, so as long as your joint sponsor meets the requirements listed on the I-864, it should be okay.
Generally, you need your spouse to help you petition for your green card. If you are no longer together, then that door is closed. However, there may be a way to move forward without your spouse if you were subject to any sort of abuse or cruelty. It's a much more difficult way to get your green card, but if it's an option for you, then it will certainly help. Please, speak with an attorney to see if anything else can be done.
I would talk with a criminal defense attorney to see if there is a way to get your domestic violence sentence modified, clarified, or if it's possible for it to go away entirely. If you can get the criminal issue cleared-up, an experienced immigration attorney may be able to help you with your status in the US.
No, not all J-1 programs are subject to the two-year home residency requirement. It depends on 1) your program type, 2) your country of citizenship, and 3) how your program is funded. You and your employer should speak with an attorney to review your options.
While you can file for asylum, you will have an *extremely* difficult time winning. You have to file for asylum within one year of entering the United States. If you file afterwards, you have to either show 1) changed country conditions or 2) exceptional circumstances. Depending on where you are from, it may be difficult to show option 1. Under option 2, you should have filed for asylum right after your daughter was born in order to have a stronger case. Filing for asylum is difficult and the...