Hi joshie
To learn how to play jazz, you will need to first begin by learning how to play the jazz triplet with the hihat going on 2 & 4. After that have got used to the movement. learn how to swing it. Buy books by John Riley, The Art of Bop Drumming & Beyond Bop Drumming to learn the left hand comping and brush techniques.
Listen to the many genres of jazz, e.g. new orleans, swing, bebop, big band, fusion etc. to immerse yourself in it and to eventually understand the music. Jazz is a very difficult typ of music to understand, as it is not as straight forward as pop and rock. Play together with the music to learn how to play with a jazz band, eventually you should be able to play it with your band.
My 2 cents worth....