We'd recommend flying into Cancun International Airport (CUN).
Check-in will be at 14:00pm on the opening day (e.g. if your trip dates are 1st-7th, opening day is the 1st and check-in will be at 14:00 PM).
Check-out will be at 11:00 am on the final day of each trip (e.g. if your trip dates are 1st-7th, the final day is the 7th and check-out will be at 11:00 am)
We would highly recommend flying in the day before the opening day and booking transitionary (e.g. hotel or Airbnb) accommodation for the night so that you do not miss any of the activities on the first day and are in time for check-in. Unfortunately, we don't have a recommended list of places to stay either but we'd suggest booking accommodation in the Tulum area (rather than Cancun) as that is where all Luxè Week villas are located so it will be quicker and easier for you to get to your villa on the opening day.