Well, what's the point of the degree if you don't use it? Even if you didn't fly to Australia for that one year (I'm making the assumption that it is Australia because many Stralyan universities have such exemptions for Singaporean polytechnic graduates).
There will be office politics in almost everywhere you go. Few places escape that (academia is terrible in that respect). Watch your own back. Sometimes, it is better to keep your mouth shut and observe.
That said, you are young, and therefore you are in the best time of your life to build your career. Being young and single, you are also at your best at learning and (sometimes) put more time into your work.
If your company has a toxic environment and/or colleagues and/or management, slowly make discrete contacts with people you know (and trust) elsewhere in the industry to sniff out potential job openings. Your friends from school are a start. If you have only just started with your current employer, you will unfortunately have to grit your teeth and endure for a while, since too fast of a job change will not look good on your resume. Besides, you need time to find a new job.