Who Sings the 80s song "living on the 2nd floor" (my name is... I live on the 2nd floor, I live upstairs from you, yes I think I've seen you before... ) & what name is it?

I believe you are referring to Suzanne Vega. The song is entitled, "Luka", from the album "Solitude Standing".

Suzanne Vega My Name Is Luca
Lyrics:"
My name is luca
I live on the second floor
I live upstairs from you
Yes i think you've seen me before
If you hear something late at night
Some kind of trouble, some kind of fight"