Explanation:

- In pre-medieval kingdoms of Rajasthan, various roles and designations were important to maintain the structure and functioning of the society.

- Royal bard was tasked with storytelling, poetry, and preserving the history through oral traditions, often performing for the royalty.

- Head of public health department did not prominently exist as a defined position in that era since structured public health systems were not formally established.

- State astrologer or "Naimittika" was responsible for predicting auspicious times, offering guidance based on celestial events, and advising the king.

- Option 3: "Naimittika" indeed referred to the state astrologer.

- Chief judicial officer handled legal matters and justice delivery, but not referred to as Naimittika.