So when I ask the anarchists - Which is it Murray? - I get crickets
I'm not Rothbardian...although in economics we agree a lot. I also don't refer to myself as anarcho-capitalist, although I am a free market anarchist. I'm also not strictly an Austrian, although I do agree largely on business cycle, among other things.
The question of intellectual property has long been debated by anarchists. Tucker was against it, Spooner for it. I think it's both...
I take a somewhat nuanced approach advocated by one free market economist who blogs at econtalk.com (I believe, been a while). Anyway, he explains why the market calls for intellectual property naturally in some ways (a book being printed w/o authors permission), and how the market actually deems it theft in another way (if you invented the log cabin, you cannot keep another pioneer from building one by just looking at yours and reverse engineering (per se), in an attempt to monopolize this habiatation innovation). So, intellectual property needs to be protected strongly in some ways, and absolutely deemed theft in other ways, in order for the market to function efficiently. The determination is largely done organically, as I just described. Almost no one would think printing off a book you just bought at the book store and selling it for half price (bootlegging) would be considered a legitimate way to do business....and almost no one would see building a log cabin as theft.
Again, social norms dictate behavior, not laws. And all the bootlegging you think rules prevent, are happening right now even with the State being here. The laws and rules don't prevent crime, they respond to it after the fact (making pre-emptive regulation basically inept).
So, like you said, Rothbard can't go there. He would be saying your reputation isn't owned by you. But I can, and so did Lysander Spooner in the 1800s.
The question of monopolies on courts and judges (or what we often refer to as arbitors)...well I personally think courts are the oldest function of government, predating even the State, legislators, and executives (or monarch, w/e). So, courts, in order to not be monopolized, must have a backstop and competition. The backstop is jury nullification, and the competition can be private agencies competing for a contract from a nation, or private freelance arbitars competing for the slots in the system (essentially how it was designed), but not where these people are necessarily elected, or undismissable on a moments notice. If you're anarchocapitalist the former, if you're more of a Free Constitutionalist like me, you'll choose the latter. In effect, both of us are theorizing, and will just go with what has the best results in the market.
If I didn't address what you meant, please redirect me, and I will try to do better next time.