I think I can handle it:
Las Palabras de Amor means "the words of love" and Despacito mi Amor means: "Slowly my love".
"Love me slow", means Amame Lentamente.
:)
Las palabras de amor= The words of love
Despacito mi amor= Slowly my love
that is the literal translation. Love me slow would be "Amame despacio" or "Amame Lento".
Yes, Despacito means Gently and Softly too, It's like a scene of love (or sex):
Despacito mi amor = Love me softly, my love(with tenderness honey)
in fact "Despacito mi amor" have the same mean of "Love me slow and gently",the message is same "Be careful(with me) please" :)