Hi Dawn,
I am so glad you stopped by the Disney Parks Moms Panel. It sounds like you have a great day full of fun planned for Epcot, dinner at Cape May Cafe and Disney's BoardWalk. I absolutely love Cape May Cafe. My family has dined there on many occasions both for breakfast and dinner.
Unfortunately, they do not allow parking for more than a couple of hours for guests dining at the resort that they are not staying at. This is monitored, so I would suggest taking the
bus transportation from Disney's Caribbean Beach Resort to Epcot that day. You can then walk to Disney's Beach Club Resort from the International Gateway entrance near the UK Pavilion in World Showcase to get to your dinner reservations. The walk itself from the International Gateway entrance to Cape May Cafe could take about 10-15 minutes depending on your pace, so be sure to allow enough time. Then, after dinner and your time at Disney's BoardWalk, you could take the bus from Disney's BoardWalk Inn to Disney Springs and transfer to a bus bound for your resort hotel. I know that this is probably not the way you had planned. However, I would hate for your car to be towed during the day while you are at Epcot.
Feel free to stop back by with more questions as your planning continues. I wish you a magical vacation.
~Allison L