If you defeated the elite4 and got all 18 badges then you're pretty much done with most of the battling part,but it still leaves the pokedex. and if you're done with that then you can do whatever you want its your game.
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Pokemon Red is based soley in the Kanto region, with no moving sprites. Pokemon Crystal is based in Johto with the option after beating the Elite 4 to take on the Kanto gyms, the game contains moving sprites and has better graphics that Pokemon Red. There is alot more difference than that.
From the elder in the sprout-tower, after beating him of course.
you get in kanto after beating lt.surge of vermillion gym
It is not available in Pokemon Crystal. You will need to trade for it from Pokemon Red, Blue, or Yellow.
trade it from red,blue, or yellowMewtwo is not catchable in the wild in Pokemon Crystal.