There's a big parking lot across from La Plage right next to the airport. You cross the road at the speed bump where pedestrians supposedly have the right of way.
We enjoyed lunch at Le Plage. Service was excellent but there were very few people there.
They have a real problem with beach erosion. The Free in St. Barth shirts are very colorful bit 40 euros for a t shirt is a little plush for my blood. Plus they did not have any larges anyway!