The jail time and inpatient treatment (10 days total) is mandatory if you are convicted. You may have a chance at challenging the charge, since it is harder for the prosecution to prove a case without a BAC reading. It is not a perfect defense, since the fact that you crashed the car supports the fact that you were intoxicated, and I'm sure the officer made observations about your reactions and appearance that may support a conviction. But a lawyer would be your best chance to get acquitted.
On a second DUI, you should absolutely have a lawyer, particularly if you want to take the case to trial
. Even if you ultimately decide to plead guilty, you will want the lawyer to negotiate on your behalf. The ten days is the minimum amount of jail time; the prosecution can push for more, and so it is best to have a lawyer advocating on your behalf. If you can't afford a lawyer, you may qualify for the services of the public defender.
If you plead not guilty, you will likely be given a different trial date to return to court. It is unlikely that you would be tried at your initial appearance.
If you plead guilty or are found guilty, the ten consecutive days must be completed within 21 days of conviction, so you could likely have a few days to get things in order before you have to serve your sentence.
The fee varies from county to county for MOP, so I would go with the amount that is listed on your paperwork as being the most accurate listing of the cost for your county.