Divorce / custody case: False accusation of abuse & supervised visitation requested. I have 1 child by me and my husband has 1.

Yes. Presumably he is seeking a change. You need a local attorney ASAP.

Can my spouse divorce me and withdraw a case while it is pending at NVC? I'm desperate to ever reach my husband.

Yes.

If I pay ALL household bills/mortgage/childcare while my soon to be ex is self employed what am I losing by filing for divorce

That's an emotional as well as a legal question. And it requires a lot more information than included in you posted question.

I want a fast and easiest divorce what r my options

You have to file a contested case and have her served. If you're lucky she'll default.

My husband and i are seeking a divorce

Without knowing what the posture of your case is it's impossible to advise you. Consult a local attorney and get the procedure dealt with properly.

Sure. But it would be a really stupid thing to do. Get your own lawyer and have your own lawyer advise you as to how, if at all, you can communicate.

What is form called and where do you file it for a breach of divorce decree?

There is no such thing as a breach of divorce decree, and forms are rarely involved when it comes to enforcement.

What are the necessary steps when served divorce papers for Irretrievable Breakdown of the marriage?

There are a series of things that have to happen in order for a divorce to be granted. Without knowing what "this" is, no one can advise you.

After a divorce, can my ex-husband and I both file dependent tax exemptions? If so, will this present a problem with benefits?

Yes, you can negotiate a settlement as to who gets tax deductions. As to welfare or Medicaid - you should check those programs for their rules.

Can we change a legal seperation agreement at any time?

If you both agree it's relatively easy.