I need a link that directs the user that is logged to his profile

You said that KingComposer will accept PHP blocks.
This will generate a link to the current logged-in user’s author page:

<?php
$author_page = is_user_logged_in() ? get_author_posts_url( get_current_user_id() ) : NULL;
$acc_pay_page = $author_page ? add_query_arg( 'screen', 'acc_pay', $author_page ) : NULL;
if ( $acc_pay_page) {
    echo '<a href="' . esc_url( $acc_pay_page ) .'"><img src="account_page_page.png" /></a>';
} else {
    echo '<span>Please log in</span>';
}
?>