Social Work profession is highly employable in Australia these days but it requires eligibility for membership of Australian Association of Social Work (AASW). Those with international qualification should be a registered/licensed Social Worker in the country of origin with an IELTS Acad score of 7 across all test components. No other English test is accepted.
Going back to the topic. Taking Master of Social Work in Australia is impractical, it doesn’t guarantee employment after completion unless you are a certified/licensed Social Worker in the Philippines and eligible to be a member of AASW.
But if I were to choose between Nursing and Social work for easier PR pathway, I’d choose Social Work – no tedious registration, no bridging program, very in demand in state nomination, few applicants in EOI pool. Membership to AASW is straightforward.