Option 1: Indian Board of Wildlife is not headed by the Prime Minister. The Indian Board of Wildlife is a statutory body that is chaired by the Minister of Environment, Forest and Climate Change.

Option 2: This option correctly states that the Prime Minister heads both the Indian Board of Wildlife and the Planning Commission. The Prime Minister serves as the chairperson of the Planning Commission, which is responsible for formulating and implementing India`s Five-Year Plans.

Option 3: This option states that only the Planning Commission is headed by the Prime Minister. It is incorrect because, as mentioned earlier, the Prime Minister also heads the Indian Board of Wildlife.

Option 4: This option correctly includes all the organizations that are headed by the Prime Minister. It includes the Indian Board of Wildlife, the Planning Commission, and the National Development Council. The National Development Council is a consultative body that is chaired by the Prime Minister and includes members from the central and state governments.

In conclusion, option 4 is the correct answer as it includes all the organizations that are headed by the Prime Minister of India.