generally up and down movement(porpoising) is related to string nock placement. If the arrow kicks up on release the nock point is too high(and vice versa). Try lowering your nocking point and see if that helps. You can do this without removing the nock point indicator. When you are sure you are getting good flight, mark that point on the string and move the nock indicator to there.
Side to side kicks are spine related. For right handed shooter a kick to the left means the arrow is too stiff(and vice versa).