Crockett was commissioned through Tulane University ROTC Program in 1986, and he earned a Bachelor of Science from Southern University in New Orleans. He holds a Master of Science in counseling and psychology from Columbus State University (2005) and a Master of Divinity in Pastoral Care from New Orleans Seminary (1991). He has an earned Doctorate of Ministry and is a national certified counselor.

Crockett currently serves on active duty as command Chaplain for the U.S. Army Center for Initial Military Training (Training and Doctrine Command, Joint Base Langley-Eustis, Va.). Prior to his arrival in 2015, he held a command assignment with the U.S. Army Combat Capabilities Development Command, formerly Research, Development, and Engineering Command. Crockett's combat assignments include a tour in Iraq, Korea, and with Third Army, U.S. Army Central Command, as the Area Support Group-Kuwait Command Chaplain. He is the son of a Vietnam veteran and has a son who is currently serving and is a veteran of two combat tours.

Crockett is actively involved in several national, local, military and veteran community support organizations including Hampton University Ministers (National) Conference, Gold Star Mothers of America (and Families and Survivors), the USO of Hampton Roads and Central Virginia, Master Resilience and Suicide Intervention Community Training and the Veterans' Health Administration National Chaplain Services.