The press cannot just publish whatever they choose.
Yes, they absolutely can.
Freedom of press, as well as freedom of speech, is limited.
No, it isn't.
One may have to endure a cost for exercising said freedom, but there can be no prior restraint.
We are not allowed to slander,
Yes we are.
You may sue civilly for doing so, but you can't stop me from doing it.
Ummm... not only can the press do those, they're perfectly legal. I mean - look at the Larry Flynt/Jerry Falwell "Campari" advertisement case.
instigate crimes or disorder etc. etc.
Again - they sure can, they just may suffer the consequences of their actions.
You know of course that illegally obtained evidence is invalid in court - one of the important rules guarding the privacy of citizens.
Well, that certainly disagree with years of Supreme Court precedent regarding the "Exclusionary Rule".
"The Court has been reluctant to apply the exclusionary rule to aspects of the criminal trial that are not directly related to the determination of guilt. Thus illegally obtained evidence may be used to impeach a defendant's testimony or to determine the appropriate sentence for a convicted defendant"
"The Court has also established the 'inevitable discovery' exception to the exclusionary rule. This exception, developed in Nix v. Williams, permits the use at trial of evidence illegally obtained by the police they can demonstrate that they would have otherwise discovered the evidence by legal means"
"The Court has consistently refused to apply the exclusionary rule to evidence seized by private parties, if they are not acting in concert with, or at the behest of, the police"
Also see Pennsylvania Board of Probation and Parole v. Scott:
"In Scott, the Court again refused to apply the exclusionary rule to a proceeding other than a criminal trial, even though the illegally seized evidence could be used to re-incarcerate a parolee"