Thepiratebay is not putting up any files on thepiratebay.org, the users are
Knowingly and willingly facilitating crime is usually a crime in itself. As a clear example, if you pay a hitman to kill someone, you didn't do the killing, but you facilitated the crime.
You might if the phone company not only knew about it, but marketed itself on its willingness to look the other way when callers used its network for illegal activity, and encouraged the idea of using its network for hits-for-hire to the degree that it called itself "Assassins' Telephone and Telegraph" and made a logo of a crosshairs for its website.
Not really, because one can easily argue that cassettes have "substantial non-infringing use". It's a little harder to argue for that in the case of TPB.
Knowingly and willingly facilitating crime is usually a crime in itself. As a clear example, if you pay a hitman to kill someone, you didn't do the killing, but you facilitated the crime.