1.How do you handle the carb counting? Is there a site that has the carbs counted at the restaurant? Start counting now.

Read food labels on food packaging, use measuring cups to serve "exact" portions. By doing this you'll be able to "eye" the food at Disney and see if it looks like a normal portion of food or too much and adjust insulin amounts accordingly.
2.How do you keep the insulin cold in the parks? No need to keep it cold. Keep your vial of insulin in the room refrigerator, and just fill up some syringes with insulin in the morning and take them with you. The insulin will be fine no matter how hot it gets. Like others have said, insulin can last 30 days without refrigeration.
3.How do you tell a child who loves Mickey bars you can't have that? After carb counting and learning what foods affect my blood sugar more quickly than others, I've learned that I can still eat anything I want (sugar or not) but in moderation of course. Chances are, in Disney with all the walking, your child will be able to handle a Mickey bar and probably won't go high at all.
4.Can I get a refridge for the room? Yes! In fact, if you're staying at a value resort... just tell them you need a refrigerator for medical reasons and they will give you one free of charge. You can mention it when you make your reservations, or go up to the courtesy counter at check-in and request one.
5.Is there a place that is private for blood sugar checks and insulin? Don't think you have to find a first aid center to check your child's blood sugar. If they're feeling high or low, sit down on a bench or a curb and check it right there. Insulin reactions can come on pretty fast... be sure to carry juice boxes and snack foods with you.
6.We always drive is this better over flying? It takes 16 hrs straight. Driving long distances does affect my blood sugar... sitting for long periods of time with no activity can cause my blood sugar to rise. I prefer flying. But if you do go for the car ride, be prepared to give your child a little more insulin to cover the non-activity periods. The opposite will probably happen in Disney - with the extra activity they might experience more lows... I tend to cut my insulin dosages in half! All that walking in Disney is great exercise.
Other tips: Stay hydrated - carry water bottles with you. (this is for everyone! not just diabetics... all that walking and the heat can wear anyone out quickly.) Carry glucose tabs, juice boxes and other snack foods for insulin reactions. Keep the glucose monitor with you at all times. Carry a few dollars in change with you in case you need to buy a soda or ice cream bar to fix a sugar low.
Finally, don't worry.

Enjoy your vacation. Disney is one of the best places to vacation because help is always an ear-shot away. Plus, if you learn carb counting now, you'll be ready by April. And... with you being an RN, you're already ahead of the game.

Good luck and have fun.