The real test is:
Your friend’s daughter had her drink spiked and then was raped while passed out by a bunch of frat guys.
If you believe that you and your buddies should get together with guns and baseball bats and go to the Frat house and exact justice/revenge on them, then you might really be an anarchist.
All the situations outlined are nice and good. Self-organization should be the default mode. However, there are situations where you need someone that can use violence to enforce justice. For most people, that would be the state.