First if all, WELCOME to the CFC!! The very best move you can make to gain a higher level of understanding and skill in this game is joining these boards, and reading them.
It looks to me like you are already winning. You have taken out one opponent, have a solid base of cities, room to drop in a couple more later, you are playing one of the strongest leaders in the game (Liz) and you have the Pyramids. Time to consolidate your advantage, and decide on a path for the future, military or financial, I think.
Some suggestions:
Use the whip. I notice none of your cities has any whip anger whatsoever. Even if you are concerned about over-whipping and the Slave revolt event, use it sparingly, but use it.
If you want to play a more active military style, and have the capacity to take out another AI soon, you need to get some Barracks up. Promoted units are SO much stronger than greenhorns.
Granaries, Granaries, Granaries! Holy cow, it looks like you only have 1? For 6 cities. This is where the whip can help you. Whipping a Granary means the pop you just killed can come back much faster. You want vertical growth with the Mids.
You were building Wealth in a few cities. Why? You have a pretty strong economy already, and its going to get stronger with Liz as your leader. Dont be afraid to let that slider drop some, because now, with Rep, you can make up the beakers in speciaists.
You were also building Temples in a few cities. Again, why? Rep helped your happiness problems quite a bit, so now you need to focus on the infrastructure to leverage it. That means Forges for an Engineer Specialist, Libraries for Scientists, Markets for Merchants. Sure, you can swap into Caste when you finish CoL, but its early, and you can still get a lot of mileage from Slavery, whipping important buildings for a bit until you get them built. My suggestion is to focus on Granaries and Barracks, and once you have gotten a few, you can abandon Slavery for Caste and get some nice teching from your well-fed cities.
Use your workers more efficiently. You have every single tile in Londons BFC improved, but Hastings is working 3 unimproved tiles. Remember, you are not likely to be over 8 pop for a bit, so there is no rush to mass-improve any city. Make sure all cities have a few improved tiles to work, and move your workers to the next city. Get those resource tiles improved as well, not sure when you got AH, but you have a PILE of pastures to build.
All in all you have a strong game here, mate. Not sure why you are worried. Is this a "spot" where you seem to start to lose your grip on the game? I think perhaps you should read some of the strategy articles, especially the ones about city specialization, and focus. You seem to be rather unfocused. If you want a strong military (and I wouldnt blame you with these neighbors!), then build one, get those Barracks down, start pumping out some Cats, more Spears and Axes. Trade for Archery so you can have a cheap, strong garrison unit, and gather up your forces. Once you get the horses online, build some chariots, or even HAs (one AI has HBR for trade, I think).
Dont be afraid of Opening borders either. Let Sal spread Hinduism to all your cities, or let Issy spread Buddhism. When the AIs like that see cities to "convert", they will build missionaries instead of Swordsmen. You have a pretty neutral diplomatic stance right now, so you should have a nice buffer of time to prepare either a strong defensive posture or an army capable of taking out an AI.
All in all, I like the look of this game, I am going to play it a couple hundred turns, if you dont mind, and maybe upload it so you can take a look. I am no expert, I am a Monarch+ to Emperor- level player (means I can beat Emp some, but generally dont like the grind, preferring the calmer waters of Monarch level).
And read. In fact, read a LOT. These boards are a HUGE boost to anyones skill. Just reading threads jumps your skill level quite a bit (IMHO, that is). You have a solid grasp of the basics, you obviously executed a very efficient Axe Rush on an opponent that is notoriously tough, Pacal. That carved you out a NICE chunk of land, and gave you a killer city in Mutal. London is strong as well, although why you farmed every single Plains tile is beyond me. I prefer some workshops, and when you hit Guilds, the switch to Caste System can really jack up your Production. But I see you want to run a big GP farm in London, and thats a nice idea, but I would turn Mutal into a GP farm, and make London a strong Bureaucracy capitol with a mix of Cottages, farms and mines.
One of the very very most key factors to competing comfortably at Monarch and above is focus. I think you have a strong basic style, but you need to polish it up some. That is where these boards will help you.
BTW, what tech did you take from the Oracle?