To judge the sizes the pinback button measures about 7/8'' wide. The pin back button appears to be in near mint to mint condition. The charm has an aged patina as pictured.
Below here is some additional Historical, reference, and background information from the Ship's official website:
USS Constitution Statistics
Armament:
(32) 24 - pound Long Guns; Crew: 6 - 14; Range: 1200 yards; Weight: 5600 lbs.
(20) 32 - pound Carronades; Crew: 4 - 9; Range: 400 yds; Weight: 2200 lbs.
(2) 24 - pound Bow Chasers; Range: 1000 yds.
Ship's Statistics:
Sail Area: 42,710 square feet.
Speed: 13+ knots
Foremast Height: 198 feet.
Mainmast Height: 220 feet.
Mizzenmast Height: 172 feet., 6 inches
Displacement: 2200 tons
Length: 204 feet. (billet head to taffrail)
175 feet. (at waterline)
Crew:
(1812 era): 450, including: 55 Marines, 30 small boys, 20-30 officers & midshipmen
(Today): 50 - 80 active duty Navy Sailors
Anchors:
2 Main Bowers 5300 lbs.
1 Sheet Anchor 5400 lbs.
1 Stream Anchor 1100 lbs.
2 Kedge Anchors 700 - 400 lbs.
Boats:
1 Longboat 36 feet.
2 Cutters 30 feet.
2 Whaleboats 28 feet.
1 Gig 28 feet.
1 Jolly 22 feet.
1 Punt 14 feet.
1794, March 27 - Naval Armament Act signed by President George Washington.
1794-1797 - Under construction in Boston.
1797, Oct. 21 - USS Constitution launched.
1798, July 22 - Ship puts to sea for first time.
1798-1801 - Quasi-war against France, protecting merchant shipping from French privateers.
1803 - 1805 - Barbary Wars.
1812, Aug. 19 - Constitution vs. HMS Guerriere. Ship earns nickname “Old Ironsides”.
1812, Dec. 29 - Constitution vs. HMS Java.
1815, Feb 20 - Constitution vs. HMS Cyanne, HMS Levant.
1828 - 1833 - Rumored ship will be scrapped
1830 - Oliver Wendell Holmes writes poem “Old Ironsides”. Congress approves funding for restoration.
1844 - 1851 - “World Cruise” Constitution travels over 52,000 miles around the globe.
1860 - 1870 - Constitution serves as a training ship at Naval Academy.
1882 - 1897 - Moored in New Hampshire serving as a receiving ship for new recruits.
1897, Sep. 21 - Constitution returns to Boston.
1925 - 1927 - Pennies campaign to restore ship
1927 - 1930 - Extensive restoration.
1931 - 1934 - “Three Coast Tour” of U.S.
1997, Jul. 21 - USS Constitution sails for the first time in 116 years.
The Constitution currently serves as a museum ship in Charlestown (Boston), Massachusetts.