Ahoy, David!
I am so excited that you are planning your Honeymoon sailing! My husband and I have taken five Disney Cruises without our daughters, so we have had "Anniversary-moons" while sailing.
You will definitely want to plan to head to
Palo, the adult-exclusive restaurant for some meals. One of my favorite things about a Disney Cruise is brunch at Palo. It is so lovely to sit and eat and have a view of the ocean, in a nice quiet adults-only venue. We have indulged in dinner at Palo as well, and it is equally wonderful. (Be sure to try the grape and gorgonzola pizza)
You can enjoy an adult beverage or two in the Piano Bar,
Keys. This is a lovely area with comfy chairs, and it is usually not very crowded.
Be sure to take a romantic stroll up on deck 10 late in the evening, and be sure to catch a sunset at least once! You might also want to book a couples spa treatment in the
Senses Spa & Salon for one of your days at sea.
Check for Port Adventures that are "Adults Only", that might be more enjoyable for you on your honeymoon. I wasn't sure which itinerary you are sailing, so that makes it hard to recommend Port Adventures. You are welcome to return to the Disney Parks Moms Panel to ask more questions to find out that information.
I hope you have a MAGICal wedding and honeymoon and a "Happily Ever After"!
Happy Cruising, Tracy V