USCIS may or may not update your status online, so there is no way to know what it will indicate if anything.

Your children receiving medicaid does not make you a public charge, so it should not affect your eligibility for naturalization. Filing online can...

There is no requirement to divorce one's abusing spouse, to be granted adjustment of status based on an approved VAWA petition.

Sure you have a chance of being approved. Otherwise, you can give permission to any adult to travel with your children.

You have not provided enough information to answer the question. One would need to know when you arrived, in what status, when you filed for...

It sounds like you need advice about any court order relating to you staying at home due to your schizophrenia. If you can get that taken care of,...

Yes, you are allowed to but a plane ticket for a person whom ICE has detained, who has been granted voluntary departure.

It depends on the judge. Some judges consider a DUI insurmountable evidence that the individual is a danger to the public.

You can answer "no", and that should be no problem for you to do when you refile, so that is what to do.

Submit the agreement with the states attorney and the sentence to community service, and of course the plea of nolo contendere.