Yes... :p
There is no India branded psp and the Indian PSP is most likely Japanese (like the one I got from China!) and yes it can play all us games. There is no area lock on most games.
Yes the PSP game works not the PS3 game version
Yes it will.... if it does not you can always return it you can ask more questions with a fast reply from smart people xD here http://sickmods.oxyhost.com
PlayStation 3 and the PSP has a different version
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.
PSP games are not version specific. A 'PSP game' will work on any model, just keeping in mind the GO can't play a game from a UMD. So there's no such thing as a 'PSP 2000' game because a game that plays on a 2000 will by default work on a 1000 and a 3000.
No the game does not have a PSP version
It depends on the game. If the game needs the latest firmware, it can't be game shared to a PSP without that update.
All PSP games are the same, there are no version specific games. No matter what model a PSP it is, as long as it has a UMD drive then it can play any UMD game.
yes because PSP's and almost every other handheld game and device is not region locked
Yes there is a PSP version of the game. In June 2012 they will also release a PS Vita version of the game for the handheld PS Vita
never heard of that before but my psp's memory card slot is dead how scratched is the UMD you could try getting the latest firmware of the psp website