As part of his military service as a chaplain, Eacott served as Anglican chaplain to the 3rd Brigade, Townsville, deployed in 1993 with the United Nations Transitional Authority in Cambodia, the Land Warfare Centre, Canungra. From 1996 to 1999 he served as senior chaplain to 1 Division at the Deployable Joint Force Headquarters at Enoggera. In 1999-2000 Eacott served as Senior Chaplain to the International Force in East Timor under General Sir Peter Cosgrove, during which time he was involved with the exhumation and reburial of bodies suspected as being victims of crimes against humanity and established and maintained a burial register. He also served as Senior Chaplain to the Logistic Support Force and Command Chaplain to Land Headquarters in Sydney.