Addopting slavery is never even an option ... allways do it... There is NO extra cost and its way better...
You switched immediatly from Monument to worker, while the city was just about to grow to 2? And you allready have 2 workers for your 2 cities, why the third worker? I would have started the Granary there at that point and grow to size 2 or even 4 to WHIP (BW!) the worker or even a settler. As a result you have to many improved tiles, not beeing worked. Obviously this will rectify itself in the future... But try to aim for "JIT" (Just in time) improving.
IW => Why? Yes to remove jungle, but when are you going to inlist workers to chop jungle? When you start settling jungle cities which is atleast 1 more (IMHO) away. The one you are about to settle and maybe even the one you can settle along the river to the west. But I think you should grab the Cow/Rice city then the Gems, Gems bring good commerce

Have the Cow/Rice city generate you atleast 1 GS, for an academy somewhere (capitol maybe or the Gems city).
There is a perfect production city just west of the Gems city, which you should grab ASAP too. Right ON the gems in that hilly/jungly bit, grabbing Banana and Rice for food to work them hills.
You researched BW for the whip and the chop, have you done either? I think you chopped 1 forrest and no whip yet so, why did you research it at that point? The settler you build would/could have made a good whip target

AH, which was selected at the end of last save would IMHO have been better, so you can get at those cows.
Now that you have BW and IW, you know there is neither Bronze or Iron in your near future, unless you get lucky with a mine... The nearest Iron is 10+ tiles away, making AH even more important to see where the horses are.
What is more, having more optional prereqs speeds up research of your target tech. You will want AH sooner rather than later, so I dont see a reason to do writing right now... rather do AH first and get the discount on Writing for having AH.
So Pottery => Writing is slower than Pottery => AH => Writing, which again is slower than Pottery => AH => Priesthood => Writing.
Offcourse the total beaker count to get to writing is more, so you delay writing a little, but if you intend to grab AH right after writing.... Do AH => Writing.
Now that you have not whipped the Settler, you can whip the Granary for 2 pop. The 25 hammers allready invested in the Granary will go to the Archer which will finish on the next turn.
The spot the settler is on right now looks good to me

, food rulez in the early game and with rice and cows it has food and grass to be cottaged.
Why are you mining the hills around sparta? Currently you dont have the food to work them. Either you need to chop that banana (this is why you researched IW I presume) , farm it and get some food going... or forget about the mines and work the cottages.
You need to balance a little your EPs I think, the third demographics of Zara is just out of reach becuase he is only 1 EPT, if you giggle it a little and put him on 2 EPT leaving 1 each for the others....
While on the subject of Demographics, I hope you do know that the Power graph also shows technologies as power right? The three big bumps you see in your graph are Archery (I think), BW and IW.
One final thing, why are you not researching at 100%? You still have 120 gold left in the bank from the huts. In the early going 1 turn can make the difference of 10 turns in the end game. Get to researching allready
P.s. Sorry for the long-ish post