You can have multiple instances of the same enchantment on different jewellery pieces, and they do have separate chances to get triggered. Playing a ranger I went with Static Charge first, but for a warrior Poison Aura would also be an option (though it would still be my second choice); watch out for killing too many rabbits early in the game, though.
In the original release of D2:ED there were a bunch of regular chickens around where Casper is, and during the conversation I had with him they kept wandering into view and exploding into a green poison cloud. It was hilarious.