I have not made reservations for Coco Beach in June, but it couldn't hurt. It's a lovely experience comparable to Anse Marcel, except AM's beach is better. You get a towel and bottle of water with your chair/umbrella at Coco, which is a nice touch. I don't recall the cost. You get there by turning left just before the Esmeralda left turn (I think). It has its own parking lot right by its entry sign. A great experience.

I have not been to Kalatua yet but will be going during my June trip. I would make a reservation there. You park in the casino parking lot across the street and they shuttle you to Kalatua. If you make a reservation, I assume they would know to expect you and have the shuttle waiting. If not, however, call What's App 721-522-1231; that's the number for Claude Kalatua.

And it wouldn't hurt to check Facebook pages for both the above for possible dates they are closed and then confirm via calling or FB message.