Because there is a presumption for fraud by law, when you get married after you are in proceedings, the policy is to have a supervisor review...

My husband had a dui in 1995, and went to court to try to fix it,put him in custody for 5 months and also gave inmigration hold

What is his immigration status? He may be eligible for cancellation of removal and you should meet with a lawyer right away.

Citizenship

You need 5 years good moral character. Depending on your conviction.

Can my previous company file for H1 cancellation if LCA is filed and is still in progress

I don't understand your question. Is the consultant your H1b employer? If you are quitting the job with your H1b sponsor, then you will be out of...

I don't see how the fact that your are not being paid will affect your H1b. I do see how waiting to file risks that the H1b's will run out.

IF I FILED FOR AN 1-539 (CHANGE OF STATUS) AND MY VISA EXPIRES BEFORE A DECISION IS MADE, DO I HAVE TO LEAVE THE U.S.A?

You can stay in the US for the duration of your timely filed change of status. The date your visa expires tells you when you can enter the U.S....

H1b application while change of status to h4 is pending

It takes about six months. Yes you can file for a change back to H1 while the h4 is pending, assuming H1's are still available.

Visa options for spouse when I begin my J1 waiver

Her options are the same as yours. If she is qualified for another type of visa, she can apply for change of status.

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If a person here illegally, sells drugs, is convicted, and was supposed to leave the U.S. after time served for the crime, but

There is no waiver for drug convictions, he will not be able to immigrate.

Should we provide the additional evidence even though we are not living together? do we have other options?

As long as you are truthful it's fine. If you get divorced you can request to change your I-751 to an I-751 waiver with no need to refile. You do...