Jin-Gitaxias, Core Augur is at odds with Dreamborn Muse, I'd trade it out with Kozilek, Butcher of Truth to prevent milling yourself. -1 Beleren -4 Font of Mythos + Mind Sculptor + Memory Adept Mana curve is high so might add some caged suns too, to pair with high tide. Now that there is proxies you can go a million different ways with mill.
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Of course need is just an opinion
This is just suggestions that you might be able to fit in. Look em' over. Won't hurt my feelings if you don't use any. For mana - Command Tower, Farseek, Trace of Abundance, Shard Convergence, Mirari's Wake, Mana Reflection, Dromar's Cavern, Channel the Suns, Joiner Adept, darksteel ingot Non-specific - Conflux, Fist of Suns, Maelstrom Nexus, Obelisk of Alara, Bringer of the Black Dawn, Dragonmaster Outcast, Baneful Omen Interesting - High Market, Miren the Moaning Well, Rings of Brighthearth, Collective Restraint (depending on which basics you have out), Prahv Spires of Order, Attrition GY Return - Disturbed Burial, Phyrexian Reclamation, Haunted Crossroads, Hell's Caretaker (with tokens would be sick), *Need* - Conspiracy, Day of the Dragons, Volrath's Stronghold (too bad it's expensive), Living Death
I'd remove Beastbreaker of Bala Ged and possibly add Brimstone Mage to make it just two color. Plus taking out Hinterland Harbor will save you $12.
No, lush growth does not add extra mana.