The John Stennis Carrier Group wasn't anywhere near Lybia on September 11, 2012. The group was still in the Pacific Ocean sailing towards its final destination, the 5th Fleet region that includes the Arabian Sea and surroundings. Adm. Gaouette was relieved of his command on October 27, 2013.
http://www.utsandiego.com/news/2012/nov/01/tp-navy-denies-admiral-removed-over-libya/