Cowcrazy65

The rooms have mini fridges similar to hotels, perhaps a little smaller. You can also request they remove the stuff they have in there (take one you pay for it type of deal) leaving it empty for you to use.

typical hotel room frig - maybe a tad smaller but good size. Believe they have ice trays but if not cabin attendant will provide ice. We always ask attendant to remove pre-stocked stuff we don't need/use for more space.

I think you could bring it but as others have mentioned, there are fridges onboard.

That's interesting you have wild price swings like that.  Did you try calling your travel agent or RC directly? Sometimes the site suffers from glitches.

Yes, you may get drinks in Windjammer whenever it's open.
 
You may fill your travel cup, however it's standard practice not to fill your cup directly from the beverage dispensers, but instead fill a regular plastic cup and then pour that into your travel cup.
 
I know that people generally take bottled water with them when going ashore. I don't think it'd be a problem to take your travel cup.

If the Windjammer is not closed, you can always get it from other places onboard too

Local was cheaper in my experience.
 
I was also told I couldn't get it till the morning I disembarked if I bought on board.

The TVs on refurbished ships (or Oasis class) allow ordering via the TV itself.  For next morning breakfast orders I believe you still have to use the door tags.

For Oasis and Allure, there are published schedules for all the reservable shows for weeks at a time:
Allure of the Seas' shows
Oasis of the Seas' shows

As far as I know, only the Allure and Oasis allow you to reserve your shows in advance. 
 
We have had to get tickets for the ice shows on the Voyager and Freeedom class shipd, but they were handed out on the ship.  The time was posted in the Compass.

Glad it's not just us that don't like to share :D

Don't over pack and make sure you bring some elastic shorts!

I always recommend that new cruisers use a travel agent.  A travel agent can help you pick the right cruise line, itinerary and cabin.
 
If your not a local, fly in at least a day early. This is especially important when flying from regional locations where there may not be as many flights per day. 
 
Cull the many cruise web sites for as much informations as possible.
 
Don't believe it when they tell you to get to the port and 1:00PM or 2:00PM.  Arrive early and start enjoying your vacation as soon as possible.
 
Alway take a carry on with your electronics and a swimsuit so you can enjoy the pool without having to wait for your luggage.  It is important the you DO NOT place any valuables in your checked luggage.
 
If available on your ship, look for alternative dining locations to the Windjammer when you first board. They are usually less crowded.  Solarium Bistro on the Oasis and Allure is an excellent location for lunch the first day.
Don't be afraid to book independant excursions.  Do your research and go with a reputable company.  You usually get a lot more for less $$.

We like to book all of our excursions before the trip while I can research them on-line. You can often find youtube video of excursions.   It's nice to get on vacation and have the decisions made and tickets in the room waiting for us.
 
My husband and I decided a few cruises ago that we don't care to do formals nights anymore so we book specialty restaurants those nights. With Quantum we have think about this approach because one dining room will be formal every night.  Not sure if we will choose to skip that dining room or take semi-formal attire.
 
I take one pair of black pants for dinner every night.  A few different blouses to rotate between.  We change back into jeans or shorts right after dinner so I wear the same thing multiple times.
 
We like to get to the port before they start boarding.  Lines are short or none at all. 
 
If you still have shows to book when you board ask where they are set up to make those reservations and do that first thing.  Get reservations - there is no harm in not using them if you change your mind.
 
 

My tip is after you pack everthing you think you need , go back over what you have and take half out.
Organization is key for me . I have all cruise doc is one packet, when traveling with kids I take a over the door shoe hold to hold all the little things that clog up the counters. 
Packing cubes are my friend , I can just stack them , and easly get what I need. 
Don't over think your agenda , rest relax and have fun.
 
One more ask your attendent for 2 compasses or stop by GS , we love to brose them while in bed, planning for our next day and we don't like to share . If we each have on we can then discuss and plan.

NO smoking except in designated areas and NEVER on your balcony if you have one.
Bring your own blow dryer---the one in your room is "useless".
Don't go crazy during the evening sales for watches and tee shirts and such.  The prices are not that great a deal.  The tees are good if you want the RCCL logos and the island tees.
Get your lounge chairs early but don't "hog" because your saving towel will be removed after an hour or so.
AND treat your room attendant with respect.  You and your room depend on their being respected.  You would be surprised how many people forget this fact.

You can bring, in a carry on bag, one bottle of wine per adult.  and drink in your cabin etc, if you bring it to dinner they can charge you a corkage fee
 
tips:  the compass is your friend on the ship like Matt said, tour the ship on embarkation day - and look at spa options that day if you like them - they often have the best spa offers embarkation date - Right on lunch (they also only have certain foods this day in Windjammer, they don't have other days)   - room service is great for snacks while relaxing in the afternoon - order breakfast in your room etc - get to know your room steward -have fun

Get to the port early on embarkation day and study the Cruise Compass each evening to prepare for the next day.

I always order multiple entrees. Sometimes multiple of the same one.  All the food in MDR is included so feel free to order more than one dish.

As long as it's not manufactured in Cuba, or illegal (as absinth was for a long time), yes.  
 
I'd suggest buying something local, something you can't get at home.  You help out the local folks that way, and you also get something that will remind you of your cruise with every sip back at home.  
 
The only exception is - pick up something distilled in an "insular United States Territory" - i.e., the US Virgin Islands.  If you purchase one liter of product from there, you're allowed another 4 from anyplace else duty free.  I used to pick up 5 liters on each cruise, until it became a hassle to get it home. 

On Lobster night my husband always orders a second meal. 
 
Our waiter once saw me taking a taste of my husbands dish and wanted to bring me one of the meals -  I already had my own.
 
Another time my husband ordered a main course thinking it was an appetizer - plus he ordered his meal.  He was brought both main course meals.
 
No one has to go hungry on a cruise :D

I always tell new cruisers, "the hardest decision you have to make all week is what to have for dinner, but if you can't make up you mind you can have one of everything!" Trust me, you will not leave the MDR hungry!

We've done Paradise Beach a few years ago and enjoyed it http://www.royalcaribbeanblog.com/2010/07/21/excursion-focus-paradise-beach-cozumel
 
My wife and I like walking around the downtown area and shopping and eating too.
 
Other reviews of things to do in Cozumel: 
 
My favorite Mexican restaurant ever: http://www.royalcaribbeanblog.com/2014/03/10/restaurant-review-comidas-caseras-tonita
Playa Palancar: http://www.royalcaribbeanblog.com/2010/08/03/excursion-focus-playa-palancar

The beach club ideas are a good option - plenty of time usually to walk around downtown and then back
on the ship -- snorkeling is good here and we have gone over to Playa del Carmen as well which I really like

Been on this itinerary 4 times...
A couple good bets:
a. Falmouth - Dunns River (its the hot tourist spot - but if you haven't done it you must do it); Second choice; Plantation tour was neat (but a tad pricey)..
b. Cozumel - If you like to Snorkel/ Scuba, do it here, great reef; Second choice: Tulum - Playa Paradiso is one of the top three beaches I have ever been to (only St. John was better);