Statement I is correct: Chakiarkoothu is traditionally performed by male members of the Chakiar caste in Kerala. Statement II is incorrect: Chakiarkoothu is a temple art form traditionally performed in Koothambalams within temple premises and was historically patronized and witnessed by caste Hindus, particularly Nambudiris. Statement III is correct: The Mizhavu, a large copper drum, is the primary accompanying percussion instrument for Chakiarkoothu. Statement IV is correct: The traditional theatre or performance space for Koothu forms like Chakiarkoothu within Kerala temples is called a Koothambalam.