Yes. Once you have canceled your ticket, and paid the cancellation fee, and requested that the miles be redeposited, your miles will go back into your account, and any taxes paid will be refunded. The call center booking fee, and the partner award fee are nonrefundable.
Money & Miles awards work a little differently. Because these are essentially discounts off of a purchased fare, the rules of the purchased fare apply. If you choose to cancel a Miles & Money award, the miles will be redeposited as above, but the monetary value of the ticket will only be refunded if you have purchased a refundable fare. Otherwise, you will receive the value of the unused ticket as a credit for future purchase.