Anything you put up will probably darken the interior so if that is an issue look at a polycarbonate roof over the tiled area to the end of the raised section. This will give waterproofing & still let in the light. May be wasting money to wrap around the corner which looks like service area so you could extend the roof line to the right with a pergola as a more open lightweight continuation of the covered roof. Cover the pergola with a vine or shadecloth to protect the undercover from sun or weather & you could continue the pergola around the side for looks & just hang pot plants under it for greenery from inside.

Australia has nice examples of painted and rendered Art Deco homes. If it was a different kind of brick I would say keep it, but I think painting/rendering would really brighten the place. I love the windows. Although all pics here don't exactly match your style, they are all of that era. As mentioned in above comments, there are mix of landscaping styles that suit from conifer/gravel/grass to cottage rose garden to an Australian native garden. Do what reflects you and how much time you have for your garden.

Thank you for all the ideas. Sometimes you think about something so much you can't see solutions. Like the ideas of umbrellas or awnings. We have 80 mm of the timber beam available to put an awning on. I think they're wider than that.☹️☹️ (There is a bolt in the beam that protrudes 2cm, it's not easily seen in photo as it is painted cream). An awning would need to sit underneath this bolt. The panels are plastic not glass and their track would need to be clear for when we open the pergola up, which we do during summer on long hot spells. We did plant callistemons about 3 -4 m away but they have not grown according to plan...lol I'm thinking the most achievable solution is a cantilevered umbrella. I think we'd need to concrete the base into the ground and remove the pole during winter. The brick area is a play area - netball etc. Any pros or cons to this idea?

Unfortunately your budget doesn't allow for any major changes and suggest that you work within the current foot print and also keeping anything deemed by the council to be outside the allowed building site, meaning laundry and carport, they are no problem now but if you want to change them externally different situation. Turn the current Master into Mothers Retreat, with the ensuite bathroom and changing WIR into a kitchenette , she will have access to a lovely outdoor view and under cover sitting Your new bedroom can have an ensuite added or just a WIR and share the current up dated bathroom, saving money. Adding a new entrance and kitchen space will make a big difference, while helping with keeping costs down, bathroom, kitchen reno's can be done when and if money becomes available. You could even consider turning the laundry into your small design space and moving the laundry under the carport, Enclosed., This will give easy access to any visiting clients.