The New York State Court system has a website where you can look for your name as a party to a lawsuit - which would include a divorce....

If a judge or commissioner signs a parenting plan or court order not knowing the document is falsified

It's binding until and unless altered by action of the court.

Can my husband kick me out if the house where I live with him and our 2 kids if my name is not on the lease?

No. You have tenant protection if you have lived there for more than 30 days.

My wife currently under investgation by acs in hospital again if i divorce her will acs still be involved in me and my kids live

A divorce will not materially alter an ACS determination.

Can someone kindly explain conditions for non-marital assets (that I do not have to split with my husband) in NY divorce?

It's simple - during the divorce process you state that they are separate property.

Do Judges typically award a credit for the carrying charges that one spouse pays for marital property, if granted exclusive use?

It's not unusual. But signing an agreement without having it reviewed with a competent attorney is a bad idea.

Who will get the house in a divorce,bought house before I got married. my name is only name on deed

Who gets the house can't be determined without a full analysis of the finances of the marriage and how any mortgage or taxes were paid during the...

Can I move to another state during divorce?

What does your PC Stipulation say? Do you have a parenting plan?

Wife is leaving. Was wondering if she was reliable to pay the bills.

It's not possible to answer that question without more information - starting with whether she is a party to the deed and/or mortgage.

Can a judge continue schedule a trial and then when the date arrives decide not to have the trial and demand a settlement?

Happens all the time. But you can also insist on a trial. None of which you should do without having an attorney.