Which has been answered hundreds of times.
Science can also say, and has said what they should do, which was in the question. What they will or won't do because of the other craziness was not in the question.
No, Love, hate, relationships, poetry, art, music, literature, and spirituality are not problems. They are human experiences and activities. They don't require solving. People are capable of creating problems in each of those areas of endeavour and they're equally capable of solving their individual problems in their individual ways. No intervention required. The same goes for personal, societal and racial problems: people make them; people solve them. That's life. While there is an ultimate scientific solution to life, most of us don't consider it an optimum outcome - at least, not just yet.