Woocommerce custom_fields(Shipping and Billing) in email_order_meta_fields - woocommerce

Question

I'm trying to store custom shipping and billing fields in order and then to be print in emails ( admin & customer ) but with no success , is there anyone with big heart to help me ?
So as you can see i removed some fields , added other fields in Shipping & Billing then i try to store data of order and at the last i try to send my extra fields in order_email .
Here is my code in functions.php
// Replace billing_email with shipping_email " This because custome don recieve email notification if don't ask invoice "
add_action('woocommerce_checkout_update_order_meta', 'set_billing_email_from_shipping_email', 50, 2 );
function set_billing_email_from_shipping_email( $order_id, $data ) {
// Get customer shipping email
$email = get_post_meta( $order_id, '_shipping_email', true );
// Set billing email from shipping email
update_post_meta( $order_id, '_billing_email', $email );
}
// Remove fields
add_filter( 'woocommerce_checkout_fields', 'wc_remove_checkout_fields' );
function wc_remove_checkout_fields( $fields ) {
// Billing fields
unset( $fields['billing']['billing_first_name'] );
unset( $fields['billing']['billing_last_name'] );
unset( $fields['billing']['billing_address_2'] );
// Shipping fields
unset( $fields['shipping']['shipping_address_2'] );
unset( $fields['shipping']['shipping_company'] );
// Order fields
unset( $fields['order']['order_comments'] );
return $fields;
}
//Add custom fields
add_filter( 'woocommerce_shipping_fields' , 'custom_shipping_fields' );
function custom_shipping_fields( $fields ) {
$fields['shipping_email'] = array(
'label' => __( 'Email', 'woocommerce' ),
'required' =>true,
'class' => array( 'form-row-last' ),
'validate' => array( 'email' ),
);
$fields['shipping_phone'] = array(
'label' => __( 'Telefono', 'woocommerce' ),
'required' => true,
'class' => array( 'form-row-first' ),
'clear' => true,
'validate' => array( 'phone' ),
);
$fields['shipping_invoice'] =array(
'type' => 'checkbox',
'class' => array('form-row-four'),
'label' => __(' Fattura ?'),
'label_class' => array('woocommerce-form__label l_checkbox'),
'input_class' => array('woocommerce-form__input woocommerce-form__input-checkbox i_checkbox'),
);
return $fields;
}
add_filter( 'woocommerce_billing_fields' , 'custom_billing_fields' );
function custom_billing_fields( $fields ) {
$fields['billing_vat'] = array(
'label' => __( 'P.Iva/CF', 'woocommerce' ),
'required' =>false,
'class' => array( 'form-row-last' ),
);
return $fields;
};
function custom_shipping_save_extra_checkout_fields( $order_id, $posted ){
if( isset( $posted['custom_shipping_fields'] ) ) {
update_post_meta( $order_id, '_custom_shipping_fields', sanitize_text_field( $posted['_custom_shipping_fields'] ) );
}
}
function custom_billing_save_extra_checkout_fields( $order_id, $posted ){
if( isset( $posted['custom_shipping_fields'] ) ) {
update_post_meta( $order_id, '_custom_shipping_fields', sanitize_text_field( $posted['_custom_shipping_fields'] ) );
}
}
add_action( 'woocommerce_checkout_update_order_meta', 'custom_save_extra_checkout_fields', 10, 2 );
function custom_email_order_meta_fields( $fields, $sent_to_admin, $order ) {
$fields['custom_shipping_fields'] = array(
'label' => __( 'Custom Siping Fields' ),
'value' => get_post_meta( $order->id, '_custom_shipping_fields', true ),
);
return $fields;
}
add_filter('woocommerce_email_order_meta_fields', 'custom_email_order_meta_fields', 10, 3 );
Thank you!