What do I do to file a law suit against little cesaers.

My recommendation: move on. People do insensitive, stupid things all the time. There is an outside (very outside) chance you may have a claim...

SSI is my only income. I am not on SSD. I have Automatic payments every month. I understand to open a dedicated acc. for SSI.

This is a question best posed to the Social Security Administration.

Can i be appointed a family law lawyer for a criminal case?

If the public defender could not represent you, you need another attorney. Many attornies practice in more than one area.

Is it possible to sue my puppys dos food company for bad puppy food

Sure, but that would be a waste of time. Get another dog food.

Child support put a levy on my savings account in error for someones else owed support. What recourse do I Have ?

Move your money to another bank. Mistakes happen, and that's why you have an opportunity to challenge through the regular channels of civil process.

So I got a no driver license ticket if I got my license back before the court date Wil the judge drop the fine

You were driving without a license. It doesn't matter whether you really needed to get somewhere, didn't have a driver, or got your license after...

How do we set up a legal residency for living together but unmarried?

That would be handled best by how the house was titled.

Can I move out and be on my own at the age of 17 here in Iowa?

With your parents' consent, or if you are emancipated, yes.

Can I sue my employer for suspending me, or my coworker for defamation of character?

Your options are to lawyer up and defend yourself in the investigation. Unless you deal with that first, you will get distracted by the least...

Simple breach of contract. You can only sue them for the losses they caused. You don't get free extra money because they screwed up.