Nintendo does not repair accidental damage, and the DS Lite has been discontinued since 2011. No "new" units from Nintendo.
Nintendo 3DS / 2DS: Plays all DS games + 3DS library, native sleep mode, better screens. Prices: 2DS ~$70, 3DS XL ~$100-150 used.
Warning: Do not use superglue or tape on the digitizer—it ruins the LCD underneath.