Capcom’s reasoning for putting PW on the Nintendo DS was to make use of its touch screen functions to make it a bit more interesting, but in practice, it’s really just navigating a series of menus for the most part. Examining areas in order to find evidence uses the touch screen rather well, but this is really its most extensive use. The use of the stylus is actually completely unnecessary, as navigating with the DS buttons is also quick and easy; it’s really a matter of preference.
The microphone is also used on occasion in court; you can yell out "Objection!", "Hold it!" and "Take that!" at the appropriate times instead of using the corresponding buttons. This is a love-it-or-ignore-it affair; I know that some people find it awesome to be able to yell at their DS to stop court proceedings, but if you don’t, you don’t have to use it and it won’t affect your game in any way. The use of the second screen is similarly limited; most of the time it contains all your menu options, though it changes up from time to time. When examining a scene, you’ll use the stylus to touch and examine items that capture your interest, or on occasion you’ll point out something odd about a photograph.