What group operates the store that is served by the parking lot adjacent to Fairfield Avenue Station?
Fairfield Avenue station:  The parking lot adjacent to the station is privately owned serving mainly a church and an H Mart. H Mart: H Mart (Korean: H 마트 or 한아름 마트 ; ) is an American supermarket chain operated by the Hanahreum Group headquartered in Lyndhurst, New Jersey.
Hanahreum Group