Let me try to make an argument for all four of the lower left quads.
Cap’n Kirk: Future-Kirk needs to be more open, willing to reevaluate his future, his relationships, his place in star fleet. He has problems with his preconceptions (Kirk has preconceived notions that because he is older there are things he is suppose to do. He ignores safety regulations in regards to the Reliant) and others preconceptions of him (his son, David, for one and his preconceived ideas of Star Fleet and Kirk ) Will he make a Choice (decision) to take over command of the Enterprise. Does he need to make a decision about Khan or Delay Khan's satisfaction.
Spock: Innermost Desires- The issues here are Closure vs. Denial and Hope vs. Dream. Kirk’s denial to admit to himself that his previously held views of cheating death are not true. He’s just been avoiding it. In this story Closure is used to show that even though the immediate problem has been resolved, the relationships among the characters is never-ending. Closure is useful in letting one know when the job is done. Spock wants Kirks doubt(or self-reflection) to come to a close so that he can continue with his career?
Hope is for the desired future that is within reasonable expectations. Dream is the desired future NOT within reasonable expectations. Spock certainly seems to think Kirk taking back the Captain-ship of the Enterprise is reasonable and Kirk can only Dream about it.
Captain/1st Officer relationship: Changing Nature- Rationalization, Obligation, Commitment, Responsibility= These all fit well into the “military paradigm” of taking command and duty. Because of the danger of Khan there is good Rationalization for Kirk to take command. Kirk and Spock’s Obligation to each other and how the safety of the crew depends on their Captain/1st Officer relationship.
Khan/Genesis Story: Obtaining/Achieving- APPROACH (one's methodology of doing or being) vs ATTITUDE(demeanor or outlook) this seems to be strong in the Protagonist vs. Antagonist vain.
MORALITY (doing or being based on what is best for others) vs SELF INTEREST (doing or being based on what is best for oneself) Do both protagonist and antagonist forget about the interest of others (at least for a time for Kirk) and their Moby Dick type obsession cause troubles for everyone until Morality comes into play and wins over?
Even the Genesis Project is made for Moral reasons but, as Bones questions, what is the potential for this science to be used to destroy?