Now then, no speculation about any of that flowery crap in Jade's temple?
Sure... it's a lotus. That's a symbol of death and rebirth, as well as purity.
It also confirms the idea that her element is earth.
Okay, I now understand the bottle. It's the equivalent of the vanishing tree that gave John the apple thing that transportalized him from under the meteor. Which later became that giant white Skaia tree with the helicopter apple. Rose's spawns or reveals a giant white bottle, which the rocket can the Mayor rode in was actually the cork of. I don't really like the ironclad symmetry of everything, but at least it makes stuff easy to discern.
Yup. Symbolically, both cases are supposed to signify the start of a journey (oddly, they're also attached to the idea of marriage). John eats from the Tree of Knowledge of Good and Evil and has to leave his childhood Eden with... well, whoever Eve is. Then Rose breaks a bottle on the roof of her house, which either means "My house is a ship and I'm starting a journey" or "I'm breaking the wine jug and embarking on married life."
...
Might be reading into it a bit deeply, there.
[PPE]:
7 symbols, repeating in an infinite pattern -> I'm willing to bet that that's just window dressing.