I never use the Earth Elemental.
I like Al'Akir, but he's not needed.
There are quite a few good Shaman decks out there, compared to the one you posted, I'm using:
-Mana Tide totem
-Zombie Chow
-Argent Commander
+Lava Burst
+Al'Akir
+Bloodmage Thalnos
Why?
Mana Tide is a 3 mana card that offers no offensive statistics, if you can't protect it, it will die instantly. Usually you only get 1 or 2 draws from it. If it does survive longer, than well you are probably winning anyway.
Bloodmage Thalnos is a 2 mana card, pretty much always gives a card draw (or they spend a expensive spell on it like silence, hex/sheep etc, which is worth it) and most important, it works so well with your spells, lightning storm, lightning bolt, earth shock and lava burst.
Argent Commander is a 6 mana minion doing 4 damage with 2 health and Divine Shield.
Lava Burst is a 3 mana spell doing 5 damage with 2 mana overload.
So why do I prefer LB over AC? First of all, AC is expensive, on top of that it's a minion, it has it's pro's, but I've found that at a certain point I lose board control in the sense of taunts, that usually happens late game, at that point you want direct damage. The overload on LB can be poop, but on the other hand, it does allow you to play much quicker, got a Druid that goes crazy on Innervates? No problem. At 6 mana I want to play Fire Elementals, not Argent.
Zombie Chow is imo completely poop, for removal you got lightning bolts etc, and since you only got 1, that ZC could easily come at turn 10, at which point it's 5 free health for the enemy.
ZC is good in 2 decks imo, control and priest. Control (mainly Paladin) because it gives you that early clear while you extend the game to the point where you destroy them, even if they get extra hp, it doesn't matter. Priest because it's control and because it works wonders late game with Auchenai Circle.
Al'Akir as a second finisher with possibly Rockbiter weapons, while not taking damage yourself, second Doomhammer can be really good though (improved chance of picking it up), personally I only got 1, so I use Al'Akir.
BTW My deck is the same (except for Doomhammer-Al'Akir) as Savjz deck, which he used to win a big tournament with, went 8-0 with it.