According to the file register.php in your forum root directory this is line 17:
PHP Code:
define('THIS_SCRIPT', 'register');
You can also use "THIS_SCRIPT" to ask for the current script, in that case you could say
PHP Code:
if (THIS_SCRIPT == 'register') { do this}
i am not an expert on the hooks but i assume that you could actually create a new plugin choose the right hook and then you just put your if clause which i mentioned before and afterwords you do something like this:
PHP Code:
$template_hook['YOU NEED THE CORRECT HOOK'] .= vB_Template::create('header_include_orwhatever')->render();
hope it helps