In third-party car accident claims where fault is in dispute, lengthy investigations can be the norm. Insurance adjusters will investigate the claim thoroughly, often hiring outside parties to conduct interviews, take statement and review any and all records (medical or otherwise) pertaining to the case. You may even need to attend an independent medical examination. The adjuster will then make his or her own determination as to fault and the settlement value of the case.
Comprehensive car insurance covers damages from an "act of God," or events that are not caused by a car driving into something else. An "act of God" can include things like damage from a heavy tree branch falling on your car. Since you have no control over when or why a tree branch would fall on your car, this kind of accident would be covered under your comprehensive policy.
If you have paid off your car, comprehensive coverage is optional. It may be a good idea to find out the Kelley Blue Book value of your vehicle. Would you be able to pay that amount to repair or replace your vehicle if it were stolen or damaged in an accident? If you can't afford to pay much out of pocket, then buying optional coverages, like comprehensive coverage and collision coverage, may be a smart investment.