Let me give you some honest advice here as I have spent 60 days in jail in 2004 for having too much fun on my motorcycle.
First, is it just a mistiminor? If so, you're fine. No worries about anything hurting the rest of your life.
It's 59 days in jail, that means you'll be out in 45 on good behavior.
I did the whole lawyer thing, blah blah.. ended up costing me ALOTTTT of money. What happened in the end? Went to jail for longer if i just went. Since I fought, got lawyer, spent months going in and out of court, I got the maximum sentance and a heafty fine.
This is my advice to you. If they have zero record of you going, and you did not keep any of your paperwork, you're out of luck. Get all your affairs in order and turn yourself in on a Monday morning 6am. Bring around $100 cash for commasary. You should get lucky, and you'll see a judge by wednesday, probably sooner, and you'll then get to explain the details their clerks seem to be missing. Be very professional, no whiney emotions. List off names of the people you've delt with when doing the work detail, provide anything you can and bring all the paperwork you have. Since you are telling the truth, there will be details of you're work stay, and by mid-end week you'll be a free man. You have nothing to worry about if everything you did was on the books, and you signed papers and clocked in, and everything the days you worked. They will be found.
Jail is not like TV jail. It's a house. Don't walk into someones house with disrespect, and you won't get treated with it.
If worse comes to worse, and they have ZERO record of you doing what the court ordered, you just wasted every penny you spent on a lawyer. All he might be able to do is lower your sentance to maybe 30 days. Big deal. After the first week it goes by in a blur.