First question - pick maple if you want a brighter tone with a stronger attack to it, pick rosewood if you want a warmer/darker tone.
Second question - depends entirely on what music you want to play.
What kind of music suits a Floyd Rose?
What kind of music suits a standard tremolo?

It would be an awful lot quicker if you just told me what kind of music you play, but....
Floyd Rose - anything where youre likely to use the whammy often and in an extreme way, ie shred, metal, some 80s rock stuff
Standard trem - basically suited to lighter styles for smaller dips/vibrato etc, eg blues, rock, surf