All good in the neighborhood. = Everything is right with the people that surround you. 周囲の人がいいと全てよし。 The world around you may be falling apart but if you are all good in the neighborhood, everything is OK.
Between the devil and the deep blue sea. = To be in a very difficult situation. 絶体絶命。進退きわまる。 If you have just finished an expensive meal at a restaurant and you have forgotten your wallet, you are between the devil and the deep blue sea.
Put a little love in your heart. Put a little heart in your love. = The world needs love. 思いやりを忘れずに。 If you want to have a happy life, put a little love in your heart and put a little heart in your love.