Lynne will probably look and confirm or correct this but at a glance you may be looking for the following code to remove, well, some of it if you want to keep the posticon in.
<if condition="$show['messageicon'] OR $post['title']">
<!-- icon and title -->
<div class="smallfont">
<if condition="$show['messageicon']"><img class="inlineimg" src="$post[iconpath]" alt="$post[icontitle]" border="0" /></if>
<if condition="$post['title']"><strong>$post[title]</strong></if>
</div>
<hr size="1" style="color:$stylevar[tborder_bgcolor]; background-color:$stylevar[tborder_bgcolor]" />
<!-- / icon and title -->
</if>