I am heading to Frisco the last two weeks of August in my 2001 LC. The National Park requires you to have a jack, jack stand, strap/chain and shovel if driving on the beach. Also, a 7 day permit is required. here is a link.
Permits & Reservations - Cape Hatteras National Seashore (U.S. National Park Service)
Yes, you may be stopped and asked to show your permit, but will not be asked about the jack and chains.
A strap and a shovel are VERY good insurance. Airing down is most times not 100% necessary, but your vehicle will thank you. Even 10 lbs less air in the tires is night and day difference in the flotation.