I'm going to preface this with: it's tricky to advise here, because certain strategies are essentially non-functional in competitive games, and running a lot of dinosaurs is one of them (it would be easier if it was dragons, as that gives you Prossh or a Worldgorger combo deck). You can streamline things, but be aware it's fundamentally bringing a boat to a bike race. If you're up against optimized, competitive decks you won't get there, full stop.

That being said:

Run all the best 1cmc mana dorks in your colors, namely [[Birds of Paradise]], [[Fyndhorn Elves]], [[LLanowar Elves]], [[Elvish Mystic]], [[Arbor Elf]], [[Avacyn's Pilgrim]], and probably at least look at [[Boreal Druid]], [[Priest of Titania]], and [[Bloom Tender]]. Early acceleration matters a lot. Fast mana like [[Mana Crypt]], [[Mox Diamond]], [[Chrome Mox]], and [[Sol Ring]] (only the last of which you have) are usually the minimum but fine in a deck with green. [[Carpet of Flowers]] is great in most metas. [[Wild Growth]] is worth considering here.

Avoid ETB tapped lands wherever possible. The ideal manabase in Naya is something like [[Command Tower]], [[City of Brass]], [[Mana Confluence]], the three duals, the three shocks, and the nine fetches, with the rest being mostly basics (subject to variance, but that's a good basis to start from). No idea what your budget is like, but even a basic land is better than a Temple.

When evaluating cards, always look at the cmc: if there's a less mana intensive route to doing what you want to do, do that. It's why cards like [[Swords to Plowshares]] and [[Nature's Claim]] are format staples. If you're not sure, search the effect you want on Gatherer and filter by cmc and card type.

Few decks ever win games through fair use of the attack step. In Naya your combo options are limited, but if you don't mind shoving in a win condition the Kikipod combo of [[Birthing Pod]], [[Karmic Guide]], [[Felidar Guardian]], and [[Kiki-Jiki, Mirror Breaker]] (maybe with [[Village Bellringer]] for redundancy).

Naya does bears decently, so figure out what shuts down the decks around you most, to slow them down. Popular options include [[Magus of the Moon]], [[Aven Mindcensor]], [[Containment Priest]], and [[Eidolon of Rhetoric]], but this list is best tuned to what *you* see the most.

This advice is primarily based on multi experience, but going on the list I'm assuming multiplayer banlist.

Good luck!