"Contemp" doesn't exist as a style description in Ty4 BigBand.
You might be referring to ClassicBigBand style - which is a good one.
Some contrasting rhythms there to provide some impact - eg, try going from the rolling rhythm of Variation C (or D) and then switching to the more disciplined swing of Variation B when coming to a different section of the song (or maybe change to a different song in mid stream).
John