Yes, there is a synagogue with minyan in the Beit Chabad building.
Yes, there is a grocery store with kosher products right next to the entrance to the Chabad house.
The Chabad House is open from 8:30 a.m. to 11:00 p.m
Indeed, there is an international airport with a variety of flights to the United States and the surrounding area.
There are many amazing things to do in Cozumel some of the main attractions include: