Am I entitled to claim financial compensation from the heirs of the deceased at-fault party for the damages incurred to me and my car? And what is the Sharia-compliant amount for this compensation?

Forgiveness is closer to piety and involves seeking Allah's pleasure. The questioner has two rights: First, for the injuries sustained to her body, for which there is a just compensation to be determined by specialists. This is the monetary compensation for injuries for which there is no known blood money (diyah). If the compensation is estimated at one-third of the blood money or more, it is borne by the offender's 'Aqila (male relatives on the father's side). If it is less than one-third, it comes from his own money. Second, the value of the car's damage, which includes the cost of repairing the damaged parts, and the difference between the car's value when sound and its value after the collision repair.