Is it legal to check email (that's not password protected) on my child's tablets to ensure their safety?

you are the parent so yes you can check the email.

I have a court date next week. My ex and I each filed a petition. I have not yet been served

If you are not paying alimony then expect it to be brought up at the next court date.

Can I sue husband in s.c. during and active divorce? I currently have an attorney but will not for s.c., is it safe to file now?

You have no case for damages.

I received a medical bill from 12/22/09. That was not paid by my exwife. We were divorced 9/911. Is she responsible for half?

she is responsible for half.

My ex moved with our child to another state, we agreed that I don't need to pay child support, unless I come into money.

Even if he makes a lot of money you have to pay child support. Not sure if the court will approve your agreement, child support is not your money...

You have to contact the State Attorney and request the court that the charges be dropped. However it is not entirely up to you.

Can I legally be disapproved from a visitation list to go see a inmate of I no longer work as a correctional officer.

Question not clear. So long as you are not doing anything illegal your paramour can surround her kids with whomever she wants.

If you are enforcing an existing order then file a motion to enforce there is no statute of limitations per se but do not procrastinate.

Is there a way to file temporary custody papers for free

Apply for a fee waiver with the clerk otherwise no.

NJ Divorce Judgment filed Dec 1996 equitable dist was never paid. Do I have legal recourse to enforce payment?

Any recourse you have is in NJ not FL.