SA does need teachers, however not in the Adelaide area. If you were to look elsewhere in SA north of Adelaide - Pt Augusta, Whyalla, Pt Pirie etc your chances of securing a full time permanent post increase by a magnitude usually associated with astronomy and celestial physics.
If you choose to move to the Adelaide area you will probably be consigned to TRT'ing. We know teachers who are still TRT'ing after 7 or 8 years in the system and have been unable to secure a permanent position. Whether this fulfils the criteria of 12 months work is debateable.
You may get lucky. Anywhere outside the black area and you should be ok.