First impressions:
Disclaimer – not meant in any mean way, so if this is brief it is because I am rushed for time.
Need to get all citizens to work. Use the luxury slider, not clowns. This is so very important in the early game!
Need to turn city governors off. You need to MM your cities at this point.
Starting economy – 161gpt, -34gpt corruption, -41gpt maintenance, -50gpt unit costs = +36gpt to treasury. Mono 34t. Sliders 10/0/0
Push Lux to 20% -
Atico doesn’t need a courthouse. Could use a galley, or Aqua. Aqua is questionable until we can get more happiness. Galley to scout map? Need Contacts!
Juli – has a harbor but is not big enough to use the coastal tiles. Temple may actually be a good idea with this situation. Not sure there.
Chuquiapo doesn’t need a courthouse either.
Nasca doesn’t need a courthouse.
Putting the FP in Machu Picchu – it is already in good shape and the land is not the best for a FP location in my opinion.
Ollantaytambo doesn’t need a courthouse.
Vilcabamba is building wealth and it is one of your most powerful cities!

It can build a sword every 3 turns!
Vitcos is working an unimproved grass tile which nets you . . . nothing. Forget the harbor. Maybe galley, probably a sword. Need to get more land, more luxuries.
Andahuaylas doesn’t really need courthouse. Whatever you do is going to waste shields. You need military. You’ve got a bunch of barracks and you are not building military.
Marketplaces are nice builds usually, but they don’t have much power here. Need more luxuries.
New economy with 20% luxury - 189gpt, -29gpt entertainment, -38gpt corruption, -41gpt maintenance, -50gpt unit costs, +6gpt from taxes=+37gpt to treasury. I’m actually making more money and my production is up because citizens are back to work.. Mono 34t – you are already locked into a long research here. Without serious growth there is nothing that can be done. Also, because research is turned off, libraries are costing gold rather than producing it.
You are way underdeveloped so the population that is working is often working unimproved tiles. 18 citizens (of 69 citizens) are working unimproved or partially improved tiles – but some areas have a lot of roads with no other improvements? That’s more than 25% of your working citizens. I would suggest that when a worker touches a tile that they do not leave it without fully improving it. There are exceptions, like rushing a road to outlying areas, resources & luxuries.
You need to see more – you need to get those early contacts! You only know 6 of 15 rivals! – it is hard to plan an effective war without knowing the location of the luxuries and resource. I don’t know if the game can be saved at this point. I’d have to play it for a while to get a feel for it. China is as far as Navigation already – not an insurmountable lead, but difficult. Looks like Shakespeare, Newton, Bachs are still available. Everyone (that you know) is larger than you, so you are at the very bottom of the pile. You really need more map to make some decisions here.
I'd suggest staging a war ASAP - I'd probably pick America without any other knowledge. But you are likely to run afoul of an AI dogpile because you are so far behind and they can buy allies. It will be a struggle.
One option for Emperor might be to start a succession game and play with other players. You might find that helpful if you post it as a semi-training game. If you can win at Monarchy 90% of the time, you should definately be able to play Emperor with a team.