Unlike "order" in English, 注文 only refers to an action "giving an order", and can't mean "article/goods on order" in Japanese. You need to use 注文品, 注文の品 or like that. I would use 私の注文した品 in your case.
Is there any reason you use two different Japanese verbs (派遣する vs 発送する) for "to dispatch" in the two examples?