Custom Option Cart Woocommerce - wordpress

Question

to everyone !
Someone can help me with my proyect, Is very simple but I have one thing that makes me crazy.
I have this:
every checkbox have a value (additional value price)
I need change the price wen I checked in one, two or all checkbox and save this options to send it to the checkout and email....And show this options to order information in the back-end.
add_filter( 'woocommerce_cart_item_name', 'custom_cart_item_name', 10, 3 );
function custom_cart_item_name( $item_name, $cart_item, $cart_item_key ) {
if( ! is_cart() )
return $item_name;
$item_name .= $value3.'<div class="lineList">';
$value2 = $cart_item['data']->get_meta('_preciosCata');
if( $value1 = $cart_item['data']->get_meta('_varArrayTitle') ) {
for ($i=0;$i<count($value1); $i++) {
//$item_name .= '<div class="lineOne lorem"><input type="checkbox" name="cart[%s][lorem]" id="addPrice" value="' . $value2[$i] . '"> <span class="custom-field"> ' . $value1[$i] . ' </span></div>';
$item_name .= sprintf( '<div class="lineOne lorem"><input type="checkbox" id="_checkbox' . $i . '" name="_checkbox' . $i . '" value="' . $value2[$i] . '" class="checkedBox url text" /> <span class="custom-field">' . $value3.$value1[$i] . ' </span></div>', $cart_item_key, esc_attr( $values['url'] ) );
}
}
$item_name .= '</div>';
return $item_name;
}
I update the car here but dont save the value:
add_action( 'wp_footer', 'bbloomer_cart_refresh_update_qty' );
function bbloomer_cart_refresh_update_qty() {
if (is_cart()) {
?>
<script>
jQuery('div.woocommerce').on('change', '.checkedBox', function(){
jQuery("[name='update_cart']").prop("disabled", false);
jQuery("[name='update_cart']").trigger("click");
//alert($(this).val());
});
</script>
<?php
}
}
I need help please