Yes, there's no such thing as a model-specific PSP game. Any UMD or PSN game will work fine on either model.
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There is no such thing as a 'PSP 3000' game, no game is version specific like that. Any UMD game will work on the 1000, 2000 or 3000 without consideration of the specific version because they're all basically the same.
The number at the end is the region code. PSPs are region locked, but this applies to movies only, not games, a PSP from one region can play any region's games, but it may affect any online use. PSP-3000 is the general name for the 3000 series range, but '3000' specifically is the Japanese regional model, 3001 is North America.
Yes, the chargers for each model are the same. It can charge a PSP 2000 or a 3000, etc.
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.
Psp Go's don't take umd discs like other psp's take, (psp 1000, 2000, or 3000). Psp Go's only take digital games, which you can download on the PlayStation Store via internet