To remove the page title on the static home page, you would need to edit the page.php file something like this:

<?php if(!is_front_page()) { ?>

<h2 class="pagetitle">
        <?php the_title(); ?>
      </h2>

<? } ?>

I didn't test that code, but it should work.

1. I want the header to just have a plain white background without any formatting.  I set the color to white (ffffff) but I can't get the desired effect I'm looking for because of the header background image (.png files).  Is there a way to not have the .png files for the background?

2. I've got a static page set up as the front of the blog.  Is there a way to not show the Page Title?  What I mean by that is when I wrote the page, I gave it a title.  That title shows up before my sales pitch.  Is there a way to hide that?