Justice Under Anarchy (video)
I've uploaded another of my lectures. This one is about how an anarcho-capitalist society could resolve disputes equitably (including disputes about crimes and torts): https://youtu.be/04CosP8M_XE
TL;DW: Under an-cap, the government court system would be replaced with a system of competing, private arbitrators. The security agencies mentioned in the previous video would make advance agreements with each other regarding which arbitrator would resolve disputes between their customers. Market competition would ensure the integrity of arbitrators. Law in the anarchist society would be a form of common law (made by arbitrators respecting precedent).