Maybe you should read "For A New Liberty", and understand what Anarcho-Capitalists believe, instead of flying by the seat of your pants, having no real understanding of what you are arguing against.
An Anarcho-Capitalist is not against law, they are against the State as a coercive monopoly provider of law.
They believe in a Private Law Society.
In an AnCap society everything is in private hands, there are no public institutions because there is no State.
You are attacking a strawman.
Secondly, you have once again ignored the questions posed in my original comment.
Check out the Laissez-Faire Journal at LFJournal.com
"The State is a gang of thieves writ large." - Murray Rothbard