Use two different menus on my website

Well – first of all the landing pages and the other pages are transparent headers.
So the contact page is the one to turn vice versa ?
For transparent options on the other page you must have different rules again

For the logo you had to have the invers logo and to know on what pages this logo and the css underneath you like to have
for logo you can add this to functions.php of your child-theme:

add_filter('avf_logo','av_change_logo');
function av_change_logo($logo)
{
    if( is_page(21) ) {
    $logo = "http://www.domain.com/wp-content/uploads/logoforpage21.jpg"; 
        }
    elseif ( is_page( array( 42, 54, 6 ) ) ) {
    $logo = "http://www.domain.com/wp-content/uploads/logoforpage22.jpg"; 
        }
    return $logo;
}

you can do it with the whole bunch of conditional tags

for css you had to specify this rules to the pages you want them to be changed:

.header_bg {
    background-color: #fff !important;
}
#avia-menu .avia-menu-text {
    color: #25604a;
}
.av_seperator_small_border .av-main-nav > li > a > .avia-menu-text {
    border-color: #25604a !important;
}

if these are a lot of pages – quick css code might be extensive
you can do it via functions.php of child theme too:

function different_header_appearance() {
	if( is_page( array( 42, 54, 6 ) ) ){
	  echo '<style type="text/css">
		.header_bg { background-color: #fff !important}
		#avia-menu .avia-menu-text { color: #25604a}
		.av_seperator_small_border .av-main-nav > li > a > .avia-menu-text { border-color: #25604a !important}
	  </style>';
	}
}
add_action('wp_head', 'different_header_appearance');

how complex those if clauses can be see here:
if ( is_singular( 'event' ) || is_search() || is_category() || is_page() && !is_page(1307) || is_singular( 'portfolio' ) ) etc. pp.