I think you need to head to the Photo section of Houzz and start browsing tropical gardens ans outdoor areas. Some beautiful photos there for inspiration. Then the helpful crew here in Design Dilemma can answer specific queries. Don't forget to save your fav photos to an ideas book.

I like a feature in each.

what can you see looking back at the house from the courtyard and the undercover area? what rooms overlook these areas? will the entertaining area be used by crowds or smaller groups? do you need to walk through these areas to the pool? what size pizza oven and barbq are you planning? what do you use the undercover area for now? what is the size of the undercover area? have you consider an outdoor kitchen in the undercover area with small table for everyday and a big dining table with market umbrella in the paved area and the fireplace with seating area at the far end of the courtyard

Sliding doors allow for more robust insect/security screens