Several Worcester eateries have finally opened after a long wait by most of us. The Oak Barrel Tavern opened the second week of June at the site of the old Tweed’s on Worcester’s Grove Street. It offers an upscale pub menu, which includes all those favorite comfort foods. Quinn’s, which is just down the street on Worcester’s West Boylston Street, also opened the same weekend. Now, the Greendale folks have a couple of places to dine. Antonio’s Pizza by the Slice opened the first week of June on Worcester’s Chandler Street, and judging by the cars in the parking lot, it is doing a bang-up business.