I set the permissions on the video as a Registered (to only registered users can see it). If the user has entered all is OK but when the user - a guest, he sees video code, for example {flv} videofile {/ flv}. My site on the local server, can there be in this Problem?

Hi. You cannot do anything about this. The {flv} videofile {/ flv} is already in your article text and if the plugin is not triggered it will remain there. I suggest to set back the plugin to public and make the whole article for registered users.