For those who have the same problem, here’s my solution:
1. Go to woocommerce/classes/class-wc-countries.php
2. Copy the whole function get_default_address_fields(), paste it just right next to it and rename it to get_default_address_fields_2().
3. Inside get_default_address_fields_2(), you can reorder/Edit/Add here the fields you want.
4. Copy the whole function get_address_fields(), paste it just right next to it and rename it to get_address_fields_2().
5. Inside get_address_fields_2(), locate the following line
$fields = $this->get_default_address_fields();
and rename it to
$fields = $this->get_default_address_fields_2();
6. Locate plugins/woocommerce-multiple-addresses/class-woocommerce-multiple-addresses.php
7. Find the following line:
$shipFields = $woocommerce->countries->get_address_fields( $woocommerce->countries->get_base_country(), ‘shipping_’ );
and rename it to
$shipFields = $woocommerce->countries->get_address_fields_2( $woocommerce->countries->get_base_country(), ‘shipping_’ );
8. That’s it. Hope this help someone.