File a writ to have her brought back. You have a visitation order. It cannot be ignored.

How can i clear false accusations that are made against me

Protect yourself going forward and document your interactions with her and kids.

.Is this doable??

No. It does not work that way. It is based on your income.

What is the procedure to change a minor's name?

You need his consent to change the child’s name.

Would I be granted a modification for sleep overs, if non custodial lives in a crowded house and doesn't arrange sick time ?

There are no rules that would bare him from having the child because of the cramped apartment. You should insist that he have his own bed though.

My sons father has filed for full custody of my son, as of now there is no court order who my son is to live with.?

You need to file a petition for custody ASAP.

You need to take the drug test if you refuse there will be an inference against you and they will get a court order to make you take the test and...

Child support and off-shores

If the money is untraceable and offshore then you will not likely find it.

I was given temporary primary physical custody of my two-year-old daughter the mother has not delivered our daughter

Speak to your lawyer. You need to arrange the exchange of your two year old.

It is not breaking and entering if you have a key. Did you live there wit him at some point ? Did he tell you that you cannot meter his home and...