The North Shore & Pusser's Landing did not include a rum distillery. However, it did stop at Pusser's Landing where you can visit Pusser's Company Store and their bar. The tour wasted lots of time in the mountain including a 30 minute stop in the middle of nowhere so you can buy merchandise from this particular shop. I highly recommend going to Pusser's Landing and enjoying the beaches and marina but not with the excursion tour.
The excursion begins in the Ovation Lounge onboard where you have to sign a waiver and wait for them to get organized. The process takes a long time. Eventually, you will be led to a bus that will drive you to Atlantis. According to Carnival, you can't buy a ticket to the waterpark on your own unless you are staying in the hotel but I am not so sure about that.