Is there a tag that can be used for questions related to the block of links under the post body? (share, edit, close, delete, flag)
If there's not, how can we name it?
That menu under each post is called the "post menu". The tag here on Meta Stack Exchange is post-menu. In each Stack Exchange page where a post is displayed, the menu is, currently, identified in the HTML by the js-post-menu
class.