In countries with rule of law, elections, and free press, the law in that country holds more importance than unelected dictatorships with state controlled media.
Small L liberalism has a lot of values around the things you suggest: free speech, freedom of expression, laws against violence. A lot of these values make the answers to your questions pretty easy. In the corner cases if the country has rule of law, elections, and a free press - deference to their law is probably fine (though not a panacea).