The incorrect statements:

(A) Primary carnivores are the tertiary consumers. In a food chain, primary carnivores are usually the secondary consumers. They feed on primary consumers, which are the herbivores. Tertiary consumers come after secondary consumers and typically prey on them.

(D) Plant are the primary consumers as they utilise the solar energy for making food. In a food chain, primary consumers are herbivores that consume plants. Plants are at the base of the food chain and are referred to as producers because they produce their own food through photosynthesis. They are not consumers, and they do not consume other organisms.

Correct Statements:

B) The flow of energy from the sun to producers and then to consumers is unidirectional: This is correct. Energy flows in one direction from the sun to producers (plants) and then to various levels of consumers.

C) The death of the organism is the initiation of the detritus food chain: This is correct. When organisms die, they are broken down by decomposers, initiating the detritus food chain.