re: Playa Mujeres, Mexico in November

For a one year old, not much. They have the Fiesta that someone mentioned. That's a sunset dinner with lots of entertainment, tons of food, and a ripe ole good time.

The kids club won't keep a 1yo without parents present. You will need to hire a babysitter for your room to do adult things at night.

Every night, or almost every night, they had a kid dance party outside of the ice cream place. Your kid will probably be winding down around then.

As far as an excursion, Playa Mujeres is not really in the excursion zone. Lots of people talk about chartering MM Royal yachts to do day trips for snorkeling and going to Isla. Seems highly regarded. There's a Fbook group that can give you lots of info.