The second carrier Lexington (CV-16) was indeed named in honor of the first (CV-2).
At the time of Pearl Harbor there were seven American aircraft carriers in front-line service: the Lexington, Saratoga, Ranger, Yorktown, Enterprise, Wasp, and Hornet. Four of the seven, the Lexington, Yorktown, Wasp, and Hornet, got sunk by the end of 1942. Those four names were used for new Essex-class carriers that were commissioned before the end of the war. (The other three names, Ranger, Saratoga, and Enterprise, have of course been recycled for new carriers since then.) People have, quite understandably, been getting them mixed up ever since. No less an historian than John Keegan included a photo of the wrong Yorktown in the chapter on the Battle of Midway in one of his books.
The Trumpeter Lexington and Saratoga kits are first-rate - and I agree that, in their old, prewar configuration or their WWII guise, they make about the most spectacular-looking aircraft carrier models imagineable. There are big differences between the two kits. If you want to build one of the ships in WWII configuration you need to buy the Lexington kit; if you like the prewar configuration the Saratoga is the one to get.
Gold Medal Models makes an outstanding set of photo-etched parts for both ships: http://www.goldmm.com/ships/gms7032.htm .
Good luck.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.