Not hard to get a job in Australia - just make sure your communication skills are up to scratch.
Without being offensive, many people in Australia don't like Indian accents simply because we get so many calls from Indian cold callers trying to sell us things...
...so there may be an inherent prejudice there.
Australian Masters degrees are well regarded arouind the world - check out the courses above - Curtin and Uni of QLD have sports masters degrees. Melbourne is also good for sports.
Good luck
BTW - forget Sports!!! Become a musculoskeletal physio and learn the sports stuff on the job!!! I have found that a mSk graduate has more breadth of knowledge in treating problems than a sports graduate - but that is a personal, limited opinion. Thanks