There probably is a way to do what you want to do, even if it means changing the S2 code rendering a comment. Unfortunately I'm kind of hindered in this case because I can't actually see where the IP display is or what it's doing in your case, since those don't show to me!
If you don't want the bottom entry management links to show I think the appropriate CSS is:
If you really want to get down and dirty with CSS coding and exploring it, I cannot recommend Firebug enough if you have access to Firefox. It will let you select an element, highlight it in the HTML of the page to see what ID it has or classes it belongs to, and also show you the CSS that applies to it. It's amazing. You can even use it to edit the CSS on the fly to test out what the changes you want to make do before you put them into the CSS for your layout.
Re: Thanks & another question
If you don't want the bottom entry management links to show I think the appropriate CSS is:
.bottomcomment .entry-management-links {display: none}If you really want to get down and dirty with CSS coding and exploring it, I cannot recommend Firebug enough if you have access to Firefox. It will let you select an element, highlight it in the HTML of the page to see what ID it has or classes it belongs to, and also show you the CSS that applies to it. It's amazing. You can even use it to edit the CSS on the fly to test out what the changes you want to make do before you put them into the CSS for your layout.