Rules of the Game by Andrew Gordon is one of the top ones available today.

Excellent narrative that also taught me lots of interesting cultural tidbit about the Victorian and Edwardian RN. But also examines pretty heavily topics such as the signalling and wireless schemes in use.

It's overriding focus is on Hugh Evan-Thomas and how divergent or unstated expectations for the 5BS went on to cause such controversy.

There's a good few choices available on the battle - given how significant it was, it's been one of the major focuses of writing on the war at sea.

My first choice would be Volume III of Marder's From the Dreadnought to Scapa Flow. The work provides a highly detailed look at how the RN fought WW1, with Vol. 3 being devoted almost entirely to Jutland and it's aftermath. It's highly detailed, well written, and gives some good analysis of the actions and decisions of the commanders involved.

If you want a better understanding of the context of the battle, then Robert K Massie's Castles of Steel is my go-to recommendation on WW1 at sea. It's a highly readable look at the major actions of the War from Heligoland Bight to Jutland, as well as covering the early attempts at aircraft use and the submarine war. There's a good few chapters dedicated to Jutland, which form an excellent narrative of events, if somewhat light on technical details.

The Osprey book on the topic, Jutland 1916: Clash of Dreadnoughts, is a good starting point on the battle, but should be paired with other books from this list. It's a pretty typical Osprey - high on gloss, images and narrative, but low on detail or analysis.

Also worth a read is Campbell's Jutland: An Analysis of the Fighting. This is very much a technical analysis of the battle, looking at how the ships were damaged by the hits they took. The narrative of the battle is somewhat lacking, but to get a good picture of the direct effects of the battle, it's unparalleled.

Andrew Gordon's Rules of the Game as recommended by /u/DBHT14, is a good addition to the historiography of the battle, but would be far from my first recommendation. It covers the failures of the RN command structure in the late 1800s and early 1900s relatively well, though with some issues concerning the earlier part of the time period in question. It's a decent read, but I'd go for a book where the battle is the primary focus until you know the battle well.

I'd avoid older works, like Harper's The Jutland Scandal, Corbett's History of the Great War - Naval Operations, or the recently republished Naval Staff Appreciation. The early historiography of the battle (in English) was dominated by conflict between partisans of Beatty and Jellicoe. Both sides sought to maximise the glory of their chosen patron, and disparage the actions of the rival admiral. This means that the narratives of these works tend to be biased to these ends, at the cost of accuracy. Nicholas Jellicoe's recent Jutland: The Unfinished Battle is better on these issues, but still seeks to cover Jellicoe in glory.