The Prime Directive is not set in stone. According to Star Trek Voyager episode, 'Infinite Regress', It had 47 sub-orders by the latter part of the 24th century. Presumably certain aspects of the prime directive had not yet been written in Kirk's time period, and it is possible that certain aspects of the prime directive had not yet been written during the Pike's time period, even though there is a gap of only ten years. We do not know what all the 47 sub orders are so STD writers could add new rules not seen in previous episodes so long as it does not contradict continuity. However I think that STD should strip it back to it's bare essentials as established in TOS:
Do not provide knowledge of other inhabited worlds (even if individuals or governments in the society were already aware of such) - "Bread and Circuses".
Do not provide knowledge of technologies or science - "A Private Little War"
Do not take any action which support one faction within a society over another - "The Omega Glory"
Do not subvert or avoid the application of a society's laws - "Wolf in the Fold"
24th century additions to the Prime Directive include:
Do not help a society escape a natural disaster known to the society, even if inaction would result in a society's extinction - TNG "Pen Pal's, (This was also a part of the prime directive in the Kelvin timeline as seen in "Into Darkness")
Do not take any action which generally affects a society's overall development - TNG "Who Watches the Watchers"
Do not help a society escape the negative consequences of its own actions - VOY "Time and Again" and "Thirty Days"
Do not interfere with the internal affairs of a society - TNG "Symbiosis", "Reunion", "Redemption", "Redemption II", "The Price"; DS9 "The Circle", "Inter Arma Enim Silent Leges"; VOY "Thirty Days"
In his essay
'Star Trek in the Vietnam era', H. Bruce Franklin suggested that the prime directive reflected a contemporary political view of critics of the United States' foreign policy. Since the 1960's it would seem that world powers (not only the US) have still not learned from the mistakes of the past. However STD chose to address the Prime Directive, it should still speak to the same issues we face today.