How to move the login form to the header?
from the website/user. I need the logon to place on the header content
  area and be able to style it.


All you have to do is edit your theme's page.tpl.php

Since the form gets displayed as the page content:

in the header section of your template file add:

&lt;?php if (current_path() == 'user'): ?&gt;
     &lt;?php print render($page['content']);?&gt;
&lt;?php endif; ?&gt;


Then find the original &lt;?php print render($page['content']); ?&gt; and add:

  &lt;?php if (current_path() != 'user'): ?&gt;
     &lt;?php print render($page['content']);?&gt;
  &lt;?php endif; ?&gt;


OR... do the if (current_path() != 'user') { for everything inside the #main-wrapper

OR... use the if statement to add a div class that will colour your #main-wrapper background to red.