No
It does feature Sonic 2 and 3, but there is no way to make it multiplayer, and they removed the multiplayer (as well as options) from the games.
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Nope.
If I know what you're talking about, it lets you enter any code for sonic classic collection for your country and it will (most likely) work.
There isn't one that is just Sonic the hedgehog 2, but there is the Sonic Classic Collection which has 1,2,3, and Sonic & Knuckles
Why yes you can. You have to beat all of the games. And then you go play sonic collection 2 and defeat eggman and shadow will appear. You have to defeat him and he will be unlocked. you can choose sonic or shadow when you choose a game
there is...but i'ts only for the European version