What should my next step be?

Yes time to try again. Put together a spreadsheet of arrears and calendars of visitation.

My boyfriend as a warrant out for domestic violence and i would like to drop the charges what are the chances for the state to g

I seriously doubt the DA will let you drop the charges if they have photos of hand prints on your nexk.

My niece has 3 young children and I need to know if her care for them is considered neglect.

Yes you have grounds for both custody and emergency custody. Call a family law attorney.

Hit and run question

Yes but you need to file criminal complaint with Sheriff's office first.

What are the chances of getting this case thrown out? What can I do?

He's going to need a criminal attorney.

Hit and Run?

Go file a criminal complaint with the Sheriff's office.

What charge is still pending in TX now that LA felonies all plead down to misdemeanors?

On the chance that I’m found guilty, do indirectly ask the judge for a stay of sentencing and appeal?

You need to hire a criminal attorney.

Is a protective order enforceable if my spouse is not aware of it being filed?

You have to get service before anything further happens. You may need to provide the Sheriff with an alternative service address or hire a private...

Is there a record of arrest if not arrested (only detained), and no fingerprints or mugshot were obtained?

There is still a record and she will need an attorney to get it expunged.