Parking restrictions in New Suffolk could be implemented this summer Sweeping changes to parking rules in New Suffolk could be implemented as soon as this summer. After a parking study and community meeting, the town may take steps both to place more restrictions on where and when people can park in the hamlet, as well as to improve enforcement of timed spots and town beach stickers. According to a plan presented Tuesday by deputy supervisor Jill Doherty and town engineer Michael Collins, parking by permit only would be extended to cover the entire grid area from New Suffolk Road south to First Street. No parking would be allowed along Main Street or portions of Jackson, First and Second streets. A small stretch along First Street would be reserved for 15-minute parking, while the majority of parking across from the shops and restaurants would be limited to three hours seasonally.