SYDNEY, Sept 27 (Reuters) - Australian authorities announced plans on Monday to gradually reopen locked-down Sydney, unveiling a two-tiered system that will give citizens inoculated for COVID-19 more freedoms than their unvaccinated neighbours for several weeks. Movement restrictions across New South Wales, the country's most populous state and home to Sydney, will be lifted gradually between Oct. 11 and Dec. 1 as vaccination rates push through 70%, 80% and 90%. However, people who are not fully inoculated will be barred from joining the vaccinated to resume community sports, dining out, shopping and other activities until the final date.