If my spouse gets custody of our child and she is unemployed; is she entitled to additional child support?

Child support is statutory. The governs how much is enough.

Can after one year of divorce ?i can reopen the case to get alimony??even though I cheated on my husband and they have proof?

No you cannot. Once a divorce is final that is it, unless you can show some kind of malfeasance or fraud, which you cannot.

No sex in marriage

All you can ask for is a dissolution of the marriage through either divorce or annulment.

Do I have a legal right to monies/estate my father left to his girlfriend--leaving nothing to me? How do I claim my due?

While I can only comment in the law in NY and not in VA, which is where his estate shall be probated, your father is entitled to leave his money to...

Once the divorce is signed and entered by the clerk, you are divorced. Pick it up in Court.

Your signature needs to be notarized.

What do u think will happen when I go back to court

Your question is utterly unclear. Speak to a local attorney.

Is diversion an option after probation says adjustment is not being considered and the case is referred to the county attorney?

This is a question that can only answered by the prosecuting attorney.

Can a marriage license application filed in NY affect me if years later if I would like to marry in another state?

Obtaining a marriage license is not the equivalent of marriage. You are fine to marry in CA.

What documents do an Indian citizen living in USA need to get after divorce in India

You need whatever document is is issued in India that orders the divorce to be dissolved.