How should I answer this question?

Your answers to questions 1 and 2 are correct. The answer to question 3 is YES, because you DID enter a plea under the First Offender...

The state of Arkansas gave me a ticket in 2010 total of $120. Now it's like $1700 I owe to get my licence back. How can they do

You need an Arkansas attorney to assist you.

What are my chances of getting to live with my dad if I decide to leave my mother?

Your father needs to file a modification of custody and you need to complete an affidavit of custody election as a part of that.

I live in Georgia and I was charged by a DUI, first time.

Court is TODAY?! Request a continuance to hire an attorney and HIRE AN ATTORNEY!

Is community supervision, whereby a private company does probation services for a local court, constitutional

You were on probation, failed a piss test, and were punished for it. Probation is not supposed to be an enjoyable experience; I'm not seeing how...

What is the lawful protocol for stopping, searching, and obtaining/ determining possible evidence against someone in GA?

While what you just described does not seem to have been done in the etiquette-filled manner, it sounds as if it was done properly.

How long you can be held for a bench warrant failure to appear in court

Until the contempt of court (missed court date) is purged.

You have to vacate within 7 days of the court date. If you overstay that, it's whenever the sheriff's office gets out there.

Will I be detained of I walk in court and I have a bench warrant?

If you don't have an attorney, you're probably looking at jail for a day or two.

What should I do in court for a first time misdemeanor charge.

With how many lawyers have you spoken about pricing, since you have stated you can't afford one?