The refurbished entrances to the Cortlandt St. R/W station on Church St. got a fresh coat of paint last week in preparation for their opening sometime in December. Only the northbound platform of the station will be accessible next month; the southbound platform won’t open for about two more years. The whole station has been closed since 2005, and until recently the northbound entrances were covered in blue plywood. Local residents hope the northbound platform will reopen in time for the Christmas shopping season, benefiting Century 21 and other Downtown businesses near the World Trade Center site.