I don't know what our long-term strategy is, so, I can't tell much. When I say "long-term strategy", I don't mean the next techs/war, but of how we imagine the game in the Middle Ages, and so on.
The Military advisor says we're weak vs Greece and strong vs China: China is been able to stand Greece's attack for so much time, defending with (probably Elite)spears against Greek archers. Now, just imagine how many archers we'd need to take on cheap pikemen(that hoplites are).
Sure, horses are very good to have, and we could go for them, after some time.
How do we plan to prevail in our island? Import Iron from somewhere else?
These are things that require "long-term" strategy, and I haven't read anything about it yet.
Canton may fell to Greece, while we prepare for a war with China(and we'd need some time to have a SoD of archers, so we take it for sure). On the other hand, Greece is only building military, and not cultural improvements, so we could take the Iron, but both options have a RISK. The question is what we want more, and how much are we willing to risk about it?
As for the dyes, maybe we should make a colony, and have a 1-2 spears to guard it, if we can't wait to build the library OR we just want to reduce the luxury slider and to keep happy cities that're about to grow and have 1 MP.
So, we're going to build the FP, after all? I thought, you were against it. We still can change to palace prebuild, but we'd need to hurry things in science to learn Construction sooner(we can always wake the lake, or a coast tiles, if it's going to finish sooner).
On the other hand, we could make a palace jump, once we improve the Greek-Chinese land: that's not against the rules, right? It's not that FAR away, like we'll going to have it on another island. Why don't we ask AlanH about it? I had read a misinterpration for the palace jump, and it was against moving it too far from your core, but I don't think it's the case here.
P.S.: so, we got HBR from that GH next to Seattle. You could have bought HBR, but you could also get gold instead of a tech, and besides, you had to take a decision, since nobody had suggested such a thing.
btw: we'll build the FP, after all?