xposted again...
Plan generally looks good. Some remarks though.
Tech: pottery-writing sounds good. I do think we could use IW rather soon. With our limited number of settlers knowledge of iron is obviously important soonish, more so with the lack of bronze around. Besides we'll want to chop jungle in city 3 (though it's not that urgent yet). With our gems we could afford the detour, more so since we didn't spend beakers on priesthood.

Then again, it might be easily tradeable, so if we go aesthetics anyway to pick up alpha, we can likely pick up IW as well. As you say it depends on how quick the AI will have alpha. Well, we do have archers and chariots so defense wise we can afford to postpone IW a bit. So maybe go aesth first and then we'll see where we stand.
Carthage: I'm not hot about the barracks. Generally when building units a rax is a good idea for the promos, but I think we have more urgent things to build in Carthage. When writing is in it can use a library asap, before it could maybe spit out another worker or even a settler (with some chops). I'm fine with an archer squeezed in, even if it's without promos. If we do go for another settler soon I'd propose going for the spot 2N of cows. I'm fine with a 2-pop whip at some point, as long as we keep on working both gems and corn. I'll leave it up to you but maybe you can do something along the lines of: 2-pop whip settler with max overflow into worker, have a well-timed chop to finish worker nearly instantly, regrow on archer, library, then settler next. Or something.
Utica: monument-worker(chop) sounds okay, especially if we grow to size 2 before starting the worker, so we can whip it soon with the chop. That may be the only whip the city will see in a long time, afterwards I'd farm it and have the hills mined and make it responsible for military output. Hence I'd build the barracks here after the worker and then take care of archers and warriors (!), before we hook up iron somewhere, if we have it

. As I wouldn't whip the city further, it might not even get a granary ever, as obviously we can only build 6 of those. Just have it grow organically through its farms.
New city: monument first, not sure about granary or library next.
Workers: sounds fine. Once we have pottery Carthage can use cottages obviously. Not sure why a tile has been pre-farmed.
EDIT: I'd also like to have the east scouted a bit more for prospective city sites, if possible. With Utica, the corn spot, the cow spot and I guess a city around the northern pigs/gold/horses, we have 2 settlers more to "spend", at least one of which should look for some spot in the east presumeably.