Depending on the volume of new crime, you will either be arrested by the warrant squad, or not bothered until you get stopped for another reason...

Inmate lawsuit

Even those on death row can sue"....".".

Paying restitution is nice. Getting your case dismissed is much better. An ACD is a type of dismissal after a waiting period, usually six months.

What are the possible consequences/outcomes for Class E Felonies (for this specific case)?

Based upon your narrative, I would not expect her to receive jail time, or face felony charges beyond arraignment. A skilled attorney may be able...

Petty larceny is what they gave me. And the fine was $250 now that I remember.

You should go to the clerks office and find or what you pled to and either pay the fine or hire an attorney to reopen the case. Yu have a criminal...

Will they take petit larceny fine out my income tax

If the fine was from a court, they will not, they will simply arrest you.

2009 I got a fine for stealing an outfit from my job and they gave me a fine. But I never paid

Who gave you the fine? If it was a judge, than a warrant exists and you should deal with it. If it was your job, than its too late to worry about...

What kind of attorney do I need to help drop sex offender charges

The best criminal attorney that you can afford. One who is not scared of going to trial and not reluctant to fight.

It sure appears to be, based on the definition you supply.

Paying fine to store before shoplifting case dismissed is admitting of guilt?

If your lawyer says that the case will be dismissed, who am I to disagree with him. If paying the money gets a dismissal, consider yOurself...