Interesting points, Peter, but it is a bit of a generalisation to argue chaos theory in Shakespeare. In Julius Caesar Cassius argues:-
Men at some time are masters of their fates:
The fault, dear Brutus, is not in our stars,
But in ourselves....

Admittedly there are many references contradicting that position:-
There's a divinity that shapes our ends,
Rough-hew them how we will.

And

"There is a tide in the affairs of men,
Which taken at the flood, leads on to fortune;
Omitted, all the voyage of their life
Is bound in shallows and in miseries.
On such a full sea are we now afloat,
And we must take the current when it serves,
Or lose our ventures.

I would interpret this as indicating that the playwrite believed more in a mixture of individuals influencing outcomes themselves (ie catching or missing the tide), coupled with some kind of controlling force in the universe, either random, or divine in some way. It also tends to vary from play to play. Hamlet is heavy with Christian allegory. King Lear, being set in pre-Christian Albion, has little in the way of overtly Christian allusions, but draws heavily on the concept of the wheel of fate or fortune.