Memetic Mutation: The phrase ito okashi (how very lovely). Also the haru wa akebono… sentences from the first chapter.
Values Dissonance: The snobbish attitudes among the aristocrats, especially toward peasantry would come off very unpleasant to modern readers.
Modern readers may find the importance of poetry in the Heian court rather outlandish; it was so important that there were pairs who got together, broke up, or rejected, all because their poem sound aesthetic or terrible.