I wouldn't bother requesting a specific rotation; in my opinion the only reason to ask for a certain rotation is if you are planning on eating at Palo/Remy on a certain night and wanted to coordinate your MDRs around that. It is your first cruise, no matter what your rotation is you will enjoy it.
Having said that, I would consider if you want to ask for a private table. It is very likely (unless you booked concierge) that you would get paired up with other people for your dining. Some people REALLY like dining with new people and making new friends, other people REALLY hate dining with strangers. You have a better chance of dining alone if you just request the separate table than if you say, "I want to be in Enchanted Garden on night one AND have a private table." On my honeymoon, I would have wanted to focus on my lovely wife and not be forced to interact with other couples/families.