I will be arriving the last week of July at 13:45 on Dubrovnik airport. We have booked apartment in Korcula that evening as we are hoping to catch the 16:30 ferry to Korcula.
Is two hours enough time to do passport and customs procedure and get to the ferry in Gruž ferry terminal?
If your flight arrives on schedule , 2 hours should be just enough to reach your ferry for Korcula i Dubrovik, Gruž harbour. I suggest you to take taxi or Uber from the airport to Gruž.