First off all you should be aiming for an undergrad degree, which requires you to do a UMAT exam. These exams do not test scientific knowledge, as someone on this thread mentioned as an "emotional intelligence test". To be offered an interview you need to pass all sections, and be atleast >
50th percentile (top 50 of candidates). In the interview you will be asked several questions in multi stations, usually problem solving based scenarios (someone correct me if I'm wrong, not sure about this one.) Than comes your ATAR which will be used to rank or determine who will get in, usually >95+ is required (UNSW= 96, UWS= 95.3).
If you don't get undergrad medicine, don't worry, there is always graduate medicine. Do a bachelors degree in any discipline (medical/clinical/or natural science would be a strong advantage but not necessary) and get a GPA greater than 5.5 and pass GAMSAT (contains science, essays, and non verbal reasoning). And if you still don't get in, keep trying. I know a bloke at Usyd who failed to get into grad med 6 times, and 7th time he was lucky and got a place. He was 28 years old, but it goes to show perseverance pays off.
Don't worry about doing no science subjects for your HSC. What matters is that you do the subjects you enjoy, and are good at, to get great marks and an excellent atar. Some universities like diversity and people with different backgrounds other than science- so you never know. You can always bridge science if needed.
The nature of medicine in Australia has changed drastically. Now days its not always about knowing every nook and cranny of the human body, but its a job which requires good communications skills, and extensive knowledge of society, culture and human behavior. By looking at your subject pattern, you have certainly ticked that box. Good luck!!