Your theme may have a different class assigned to the "Read more" text. A theme I just looked at, for example, uses "node_read_more". Setting whatever class you've got on that text to "display: none" is likely the easiest way not to display this text.
You can use the same technique to hide the title from a page or node display, but be careful about the scope of the CSS selector. The class "title" will probably address not only the titles on the node pages, but also likely on your node lists. This will vary by theme, so you will have to look. You can also remove the printing of the $title variable from the node and/or page .tpl files, but again this may be a broader stroke than you wish.