Essentially, what's on the tin.

Semi-long form: I am planning on making a short series of interactive fiction using twine, but I want the subsequent games to draw on the events of the previous game. Is this possible? Would I have to use some form of external hook of some kind? If it is possible, can someone point me to an explanation of how to go about it?
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The only problem is that if your player clears his internet files (cookies, history...) , your saves would be lost because it's working like a cookie.
(more info here : http://www.w3schools.com/html/html5_webstorage.asp )
I hope somebody sees this. Thanks!
That's basically it yes.
You can do whatever you want yes.
At the beginning of game 2 you can check if the item is stored and if not, set it the default one.