Shutters sound like they would be a great addition to your new almost at the beach house. Is it an open concept? If so while you can change things up a bit you'll want to repeat some element and ensure that everything looks great together. Even the rooms you're thinking of putting drapes in might benefit from shutters or wood blinds for both looks and light/privacy control. Also be aware of how these windows will look from the outside. When choosing fabrics look at your existing furniture for inspiration or a piece of existing art or if buying new furniture think about the windows as you do. Everything in the room ties into each other. Ideally you would have swatches and samples of every finish in the room from flooring to window coverings and everything in between including wall colour, area rugs, bedding ect to help make your final decisions easier.

I would clean up first. Especially the stuff growing in the paving. Then get gardening with pot plants and start experimenting with different plants and the positions. See what you like and if you can keep it alive! Our house has the sun setting over the back fence and we've done a few inexpensive things to reduce that issue (most expensive were outdoor blinds around the verandah) but for most of the year we just don't want to be out there. It is hard work to keep the plants going in summer, there is a lot of sand due to the difficulty in keeping lawn alive and it is just bloody hot. So, that's why I'm saying clean up, start gardening small and see how you go before committing to structures that might not address the real issues you have with the yard. Just my 2 cents! :)

Well that is an interesting picture. I can assure you that hanging wall gardens are all the rage and that is a great idea but they can also be high maintenance if exposed to high winds / sunshine etc. I have seen some lovely fake ones that would do just as well. You could also have a few pots with additional greenery. As you say your view is not "great" maybe you can have a creeper in one of the pots that can weave its way through the railing. I probably wouldn't go for one big chair as it could dominate the entire space. I would consider a table with a couple of fold-able chairs .... something that is comfortable, inviting if you have friends over but can be placed in a corner if you just want to open up the space. I do not think you need a carpet and but maybe some fancy outdoor tiles will look just as nice. You want it to be easy care and weather proof. Do you need or wish to incorporate a washing line? A pull out one from a wall will be perfect that way you can retract it back when you are not using it. If you deck gets too much sun, you may want to consider some shade shutters. I have seen them called 'plantation' shutters. GOOD LUCK

The market is full of tropical/botanical art at the moment which lend themselves well to tropical or beachy looks. The look you are after calls for natural textures with a soft colour palette, think linen bedding and layer it up with throws and cushions for texture and pops of colour. In my opinion drapes are not a good option in your room as the ceiling slopes to just above your window at a certain point. This would dictate the height at which your drapes hang and, in this instance would be too low. To soften the windows, I would have a tall palm or Fiddle Leaf Fig tree in wicker basket. It also looks like you have the space for a chair.