No there is not enough harddrive space for the PSP and they might not have the capabilities to run the program even if stored on a PS3
yes there is a playststion store on the 3000 and also the 2000, and the pspgo
same as an actual controller about 20 feet, this information is self tested
yes you can charge a psp off a ps3. put the psp on USB connection mode, then connect it in a ps3 with a USB cable, there your psp should be charging.
Obviously not.