Number 3 looks to me like clear quartz cluster of points with horizontal striations. One pair are visibly bridged into each other. Not sure of the geological term but these etched lines are sometimes called "barcodes"; esoteric descriptions apply "lemurian". Found in Sierra Do Cabral Mountain in Minas Gerais, Brazil.
Number 2 is likely a massed cubes formation like fluorite (Moh's hardness 4). Is it black-purple? If it's black fluorite that's one of the rarer colours.