In addition to what John says, make sure you have the latest version of S2.2, navigate to the mapping tab, just above the virtual keyboard you’ll find the MIDI preset dropdown.  As well as selecting the ‘edrum’ preset, already mentioned, from the ‘note mapping’ sub-folder look in the ‘pedal correction’ sub folder and try the ‘more closed curve 1’ or ‘more closed curve 2’ presets.  I suspect the latter will help you achieve the tightest hat sounds you are looking for.