I say this because peculiar means strange, unusual, out of the ordinary. It is most sense that statement 4, " She found it quite peculiar that it was so warm in the middle of January.", because it would be strange and unusual if it was warm in the middle of a cold month. Therefore i beleive statement 4 is the correct statement where peculiar is used correctly.
I would rather be rich with money because if you are rich with money you can buy a car and have a house and basically do whatever you want with your money. And also you could also be rich with love because if you are married and you love someone you are already rich with love.