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Raspberries (and blackberries and all those similar) have a short shelf life which is why you rarely see them sold in stores. They might last a day or two but go bad fast (even with refrigeration.) Blueberries also go bad quickly but can last a bit longer. Yes, refrigerate them, but don't wait too long to eat.
Refrigerate the pineapple if it isn't used within three days of purchase. Before refrigerating, core, peel and cut the pineapple into chunks. Place the chunks in an airtight container. According to Dole, cut pineapple keeps for two to four days when refrigerated.