Yes, this will work with any impact driver, mine is a Makita but, am sure it will work in a comparable DeWalt.
On items like this, not that I have had to use it - Makita has a reputation for standing behind their products. I believe with comes with the standard lifetime warranty - if a socket should break as a result of normal use, Makita/The Home Depot will replace it. Those Home Depot receipts are invaluable.
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no,13 mm is the largest. There was another similar set that had the 14 mm for a little more $$ but was sold out when I was looking for a set, so I got this one (8 piece).