How can one deal with constant parental disputes, their effect on academic focus and psychological well-being, while trying to reconcile the parents and avert evil from them?

If the discord between your parents is continuous, you must be patient and engage in remembrance (dhikr); for the heart finds tranquility in the remembrance of Allah. Continue to supplicate for them day and night for their affairs to be eased and their distresses relieved. Strive to reconcile them by seeking assistance from sensible people, and honor them with whatever good deeds are possible. If it is highly probable that the reason is not ordinary, then advise your parents to perform ruqyah (definition) al-shar'iyyah (Islamic exorcism/healing).