Well, I had a chance to look at it earlier, so I'll just make some comments from memory.
You let your capital get taken from you. That's just not something you can do on Monarch.
But it seemed like you were missing some vital buildings, and building the wrong things in other places. Cuzco didn't have a granary, along with many other cities...this is bad. You should pretty much build a granary in every single city you have. What makes it worse is that it's your unique building, and gives you culture as well. They should have been built 3,000yrs ago, and they'd be giving you a lot of culture.
I also saw things like colosseums. They're crappy, don't build those unless you're desperate. Your (new) capital didn't have a lighthouse! It should have had one thousands of years ago as well, you're missing out on food there...in a city you're trying to run specialists in.
You went kind of wonder happy. I know industrious makes things cheaper...but man, Pyramids, Stonehenge, Oracle, Great Library, Colossus...that's a LOT of hammers.
Cuzco was building a bank, with a grenadier in the queue. That city doesn't make enough cash to warrant a bank, it was something like 15 base commerce. I can kind of understand the science buildings, because you had the GLib there...but that was going to go obsolete soon when you built that observatory there. What exactly is the purpose of that city...and others. Pick something for a city to do, improve the land so it can do it, and only build what it needs to accomplish that goal. Like the grenadier...you've got no barracks there.
That's not the only city building troops without a barracks...or growing way slow because of no granary. And if you want to build cavs, build stables as well. Your Heroic Epic is in a shield poor city. Your National Epic is in a food poor city.
And what about civics? You've got like...12-15 towns I think? Your economy sucks, so you aren't cash rushing with Uni Suffrage...you don't have enough towns to warrant running it, you should be in Representation, especially seeing how you like to hire specialists in every city, regardless of their food situation or if they need to be growing or not. You're also running Free Speech...I think Bureacracy would probably be better, considering how few towns you have. And your still in Decentralization? You have access to both Merc and Free Market. You don't have enough good trade routes to warrant Free Speech, so I'd be in Mercantilism and Representation.
I think you just need to learn to specialize your cities a bit more. If a city is going to build troops, get a barracks and a granary so it can grow quickly, then pump them out. Pick one city to build your mounted units in, and put a stable in there. Put Heroic Epic in one of your best shield cities...maybe on the coast as well so it can build boats. Put National Epic in a food rich city so you can run tons of specialists. If a city is going to be science/commerce, then only build those buildings there (and a granary). No barracks, or any nonsense like that. Think about what a city's purpose will be, and then only build what it needs to do that. You seem to kind of have no purpose for most of them...they're just taking up space and trying to do things they aren't really set up to do.
Basically, your cities look like you just kind of rush through them without putting much thought into exactly what's going on. They remind me a lot of my late game cities that I've just captured from an AI, and I'm too lazy to sit there and figure out how to make the best use of them.
Granted, your land kinda sucks, and it seems like you got hemmed in a bit. But part of that was all the time you spent building early wonders. Did they really help you that much? Try only picking out one or two that you really want, and forget the rest. You don't need all of them, and at higher levels, you really can't afford to build them all...even if you have the production and time to do so.
I'd recommend that you run over to the Succession Games forum, and download one of their saved games from the later stages. Just take a look at how some of the cities are set up, and specialized to do certain tasks. You really want to make sure you don't waste hammers on unnecessary things.