How quickly does it take off? The mana curve makes it look like it would take off quickly but I'd be a little concerned about getting some creatures on the field. With only 12 of the cards being creature cards I'd definitely be a little nervous going up against some fast aggro decks. Versatility is usually a good thing though because it's good to have contingency plans. I'd work on building up a sideboard to hone in on specific tactics based on what you're up against to speed up the process while not compromising the entire build of the deck. Swapping out some of the larger and costlier angels for some control wizards (generally at a lower mana cost) may be beneficial against faster aggro decks and maintains some synergy with your Avengers and Jura. Possibly throwing in some Sleeps or Turnabouts could help ramp up the Avengers even faster. Realistically I just really like the idea of controlling the field while yielding large creatures, so that's the direction I'd try to run towards consistently. Throw in a few Pemmin's Auras to give your Avengers shroud, flying, or a P/T adjustment with your spare mana and I could see this becoming even more dangerous.
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Apologies, Anger is an Incarnation so it wouldn't quite fit the theme.
Budget is what makes this hard. I'd recommend at least Thornbite Staff (at least two of them) to take the place of a couple Lightning Bolts. That's what seems a little off with this deck to me just because shaman have the potential pump out some serious direct damage to creatures or players so this should be taken advantage of. The Thornbite Staff paired with say Stigma Lasher (which I don't see that you have) would prevent life gain from an enemy as the text doesn't explicitly read "combat damage," so that's another card you may want to look into. I'd almost recommend removing the Incandescent Soulstoke to make room for other cards because you don't have a whole lot of Shaman that have immediate effects upon entering the battlefield, so all you're doing is throwing up another line of defense until the end of the turn with that card. Considering the other shaman in this deck, the last thing I'd want to do is be forced to sacrifice a card (without haste) before being able to take advantage of it. Throw an Anger (fits your elemental theme, just not the shaman) in this deck and that may mitigate some of those concerns if you can get it into the graveyard. This could be achieved a little easier with Faithless Looting which is moderately inexpensive which I recommend anyhow to keep everything moving quickly and cycle the cards you don't need. If you don't mind increasing your budget to $15, I'd also recommend Flamekin Harbingers as this is a good card for taking away some of the unpredictability of drawing cards.
Even though you posted this a while ago and probably found your answers by now, the verbiage of Rebound states "...if you cast it from your hand." so this would prevent it from working in conjunction with a Flashback spell. As for X costs and rebound, from my understanding this is an ongoing point of contention. However the verbal breakdown that makes most sense to me (and substantially more fair, as much as it pains me to say it as I love Cast Through Time) is that Rebound doesn't make a copy of the spell, it casts it again. As you can only choose to cast it without paying it's mana cost and X is a dynamic modifier of total mana cost, X cannot be modified and is assumed to be 0. The lesson to be learned is that Magic is more of an exercise in language than strategy.