Sport mode only came when turbo was introduced. The 03 S has sport tuned suspension and the only extra mode was being able to turn off DSC. Track people turn off DSC to stop the intermittent engine stall when tires slip. Turning off DSC is not recommended for anyone not familiar with the handling on track. But, it is recommended to turn off DSC in snow and ice or too wet conditions which induce tire slip.
Charlie Croker ,BRG 03 Cooper S, SCCA Solo, PDX, Time Trials, RoadRally, and Stella, 011 Oxford Grn Countryman S, with complete Sport Package, stock at present