When I select Landing Page……

That’s weird, it’s not supposed to show up. Do you have a link to your site? I can look and give you the code you would need to remove it from showing up.

I don’t see a secondary menu, but I do see the primary menu. The code in your landing template file should remove that from showing at all.

remove_action( 'genesis_after_header', 'genesis_do_nav' );
remove_action( 'genesis_after_header', 'genesis_do_subnav' );

Here is the demo – http://demo.appfinite.net/epik/landing-page/

If it’s still showing up, then there must be something else overriding it. You can remove it with CSS by adding this –

.epik-landing .head-wrap {
    display: none;
}