lucky for you if you go to the first route and talk to the girl there will be a pop up saying 'SHADOW POKEMON CATCH WITH ANY POKEBALL!' and that's a free shadow Pokemon!
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No, but you could get porygon2 in PTD2, but you have to wait until you could be able to transfer pokemon from PTD to PTD2, and you need the dubious disc to be able to evolve Porygon into Porygon2 in PTD2!
There is no such Pokemon as "Shadow" mewtwo. There is a regular mewtwo that you can catch like any other Pokemon. It's located in the Cerulean Caves.
You can't. It is not available on Pokemon Platinum.
There is no such thing as the Shadow Luiga. To catch the Shiny Lugia though, you need to find the code.
You can't steal Pokemon however in Pokemon colosseum and Pokemon xd gale of darkness you can snag shadow Pokemon from trainers.