settings api callback functions won’t display?

That’s because you need to print your settings fields in Kaipo_menu_callback, something like:

<?php

function Kaipo_menu_callback() {
    ?>

<div class="wrap">
    <h2>Kaipo</h2>
    <form action="options.php" method="post"><?php

        do_settings_sections( 'kaipo_menu_page' );
        settings_fields( 'kaipo_menu_page' );
        submit_button();

    ?></form>
</div>

<?php
}

I would strongly suggest reading the settings API in detail.