Over the summer I did an internship with the local Probation Office. Much to my surprise, alot of their work involves facilitating restitutions and collecting payments, usually for automobile accidents in DUI cases. I had the opportunity to see a few of these cases handled in the courtroom.
Since one of the offenders has already plead and agreed to restitution, the judge will basically ask you for supporting documents to verify the cost of repair. If a claim was filed on your homeowner's insurance policy, you'll have to provide documentation stating the amount of your deductible. In the cases I've seen, the restitution awarded is usually only the amount of the insurance deductible. I'm not sure what will happen with the other offender who hasn't signed the paperwork, but I'm almost positive the judge will question his delay in the paperwork.
-Gunner