I decided to do some laundry first thing Wednesday morning.
Since we were up anyway, 7am is a good time, I discovered. The laundry room was pretty much abandoned. I had brought a travel size bottle of Tide ($1 at Target for 4 washes) and a little ziplock bag of a few bounce sheets. (Did I mention already how GREAT the pop-up laundry hamper was? Well, it was GREAT!

I grabbed the handles, put my money and laundry items in the side pocket and sauntered down the hall to the laundry room.) The machines took $1 each, and I had to run the dryer loads twice each.
After breakfast, we were off the boat about 10am. I had gone through the buffet line and made PB&J sandwiches to go with our water bottles in the cooler. Id also brought some little Tupperware dishes and filled them with melon (which I realized upon disembarking was illegal. Uh-oh.

After some furtive discussion, Paul and I decided that since no one appeared interested in searching our small soft-side cooler, wed just try to slide past and no one questioned us about it.
Right off the pier, there were lots of cabs. They even had a big sign posted with the prices (in $USD from about $10-$20) to various locations. It seemed very tourist friendly, clean and safe. Paul and I used our conversational Spanish and got along fine. Quite frankly, most everyone we encountered spoke English much better than we do Spanish, but we wanted to be courteous.
Our original idea was to check out a bicycle rental shop that I had heard about (Isla Bicycleta) and ride bikes on the moped trails that circle the island. I had come across some information that suggested it was a nice way to tour. However, upon asking our driver, he said that although there was the bike shop I asked about, he would not recommend riding on the trails with children. Although I was disappointed, Paul reminded me that we could do the bike rental on
Castaway Cay and that would most certainly be safer. As we rode along in the cab, I could see that the trails were right by the road (sometimes part of the road (like a shoulder) and our driver was correct it would not have been safe with a baby seat on one of our bikes, and our 5 year old riding alone. I appreciated his advice.
So, our plan B was to check out Paradise Beach. Its a public beach, about 7 miles from the port. Its free entry and includes use of lounge chairs. There is a small fee for floats, to use the climbing structure in the water, etc.
Behind me in this picture you can see the water trampoline and the climbing structure, as well as parasailing.
They have a bar/outdoor restaurant, gift shop, and bathrooms/changing rooms. The sand was lovely, and the beach (although crowded with lounge chairs) was very clean.
In my haste to try to get everything together I had forgotten to bring towels from the boat. Of course, we had thought we might be traveling by bike, so we had tried to pack extra light. Anyway, it was so sunny and warm, we just dried off with our t-shirts and wore the swimsuits home. I was glad I had packed some quick-dry shorts to wear over my suit.
The only (minor) disappointment I had with Paradise beach was my drink. Paul ordered a beer and it came in a bottle. Good enough. When I ordered, my diet Coke came not in a can or plastic bottle, but in a syrofoam cup with ice.

Ive heard repeatedly that its not advisable when traveling in Mexico/Caribbean to have drinks with ice, since its not for certain the ice is made with bottled water. So, I took a sip of my soda and left the rest. After enjoying the sand/surf for about an hour, we dried off and ate a snack in the bar. Paul and I got nachos and the kids ate the PB&J sandwiches (and we all quickly ate our contraband watermelon!)
The flowers and trees were gorgeous Katherine wanted desperately to pick one of the hibiscus (anyone corrections if Ive got the flower wrong?) and put it behind her ear. We refrained, but instead took a picture of her with the whole tree behind her.
The cab we took to the beach was a newer car it even had seat belts in the back. I was feeling rather smug that so far, my kids had sat so well on the plane, and on the Disney bus, without car seats. On the trip out to the beach, Katherine just sat in her seat with the lap belt and Jacob sat quietly on my lap and we rode out to the beach. Remember that pride cometh before a fall
The return cab was an older car there were no seat belts in the back seat, and the windows seemed to be stuck down. Katherine decided this would be a perfect opportunity to be dangerously disobedient. She was bouncing around the back of the car and leaning to look out of the window. This second driver was also driving much more aggressively. I think he was using brake and accelerator simultaneously, and red lights were obviously just a suggestion. I was terrified the kids were going to get hurt if we stopped quickly or got into an accident.

I tried to explain my concern to Katherine and wanted to have my arm on her to try to restrain her. This spiraled out of control to a battle of epic proportions. We all were at the end of our rope. By the time we returned to the port at 2pm (which was Punta Lagosta, not International Pier, like our stateroom map had indicated) I was completely ready to offer her for adoption to a nice Mexican family (or anyone else who would have taken her).

It was a miserable moment. It was one of those low times as a parent when you are stuck in a losing battle and had nothing at hand to use as incentive (reward or punishment). Reasoning made no effect on her, and any physical force I tried only made it worse as she squirmed to get further from me. Of course, Jacob then also decided he didnt want to be held and was also squirming like a cat at the vets.
Voice of experience: If you are concerned about car safety, you may want to wait (and maybe even offer to pay extra) for a cab that has seat belts in the back. I certainly would have happily done so. Restraining 2 uncooperative children by myself was impossible.
After getting back to the room, I showered and Paul took Jacob for a stroller ride to get a little nap. Katherine had some thinking time in the room. I was still so angry with her. Eventually, she apologized and we made up.

We talked about how if she doesnt obey (even when it doesnt make sense to her), we cant trust her and cant take her places to do fun things. I pointed out all the fun things we could have stayed to do in Cozumel, and how we werent able to do any of that because she had been so naughty.

Anyhow, she seemed to get it.