It depends on the part.
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No, the PSP 1000 requires a higher amount of amperage. If you put a PSP 2000's battery in, it won't even turn on.
no probably not the 3000 is an up grade from the 2000 so it has different internal connectors even tho the screen is the same size it wont be able to be done without modification's.
The thing that powers the PSP. It also enables you put put Custom FirmWare on the PSP
custom firm ware is a modification of the psp that lets you use cheats,put ps1 games in the psp ,and much more. you can get custom firmware by makeng a Pandora battery and a magic memmory stick.(for psp 2000,and older)......for psp 3000 you have to get hue or somthing like that .
You put games in the ISO folder.