Hi,
The ul-level-2 styles are already defined in the menu.css - ( ul#cssmw_home ul.level-2 > li > a { ) and are similar to the level-1 styles.
If you made changes to the level-1 styles, then you could just reflect those changes in the rule for level-2.
So if I added two options to the Support > Shipping menu item:
<li class="parent"><a href="<?php echo($assumedRoot); ?>Shipping.php">Shipping</a>
<ul class="level-2">
<li><a href="<?php echo($assumedRoot); ?>Shipping2.php">Shipping 1</a></li>
<li><a href="<?php echo($assumedRoot); ?>Shipping3.php">Shipping 2</a></li>
</ul>
</li>
It would look like this, based on the current stylesheet.