No, I didn't GET engineering - it automatically went to researching engineering (38 turns to go...) after I bought Literature. I GOT monotheism.
Yes, I set up embassies. I played that one on for quite a while. I got everybody down to cautious or better by trading around techs, maps, and luxuries. However, the AIs weren't learning anything - at least nothing that I could buy - so I started researching again and went for magnetism since every caravel I sent out sunk. As soon as I could get a galleon I built some and tried to get a foothold on the resource continent. I did, but I was too far behind in tech and most of the other civs were there with me or ahead of me, and I was behind most of the AIs by 3 or 4 techs and had nowhere near enough gold to catch up by buying. Finally I gave up - it was obvious I wasn't going to win - and started over with the 150BC map.
This time I let Ur be taken (I didn't like it where it was anyway) and went after Akkad and Samarra. I discovered that within a turn or two of me destroying a city, other civs would try to horn in on my island even if they had to build cities in pretty unlikely places. I didn't have enough units to block all the possible landing points, so finally I got mad and just went to war with nearly everybody. It took me a while, but now I have my whole continent cleaned out and I have Samarra, plus many of my cities are in locations that I like better than they were. (Ur, Akkad, Ravenna, etc. got destroyed). Unfortunately nearly all the GWs got built while I was warmongering, but I did stay pretty much even on tech and switched to republic right after the GA ended.
Now I am building the basic city improvements I like to have (temple, lib, granary since I missed Pyramids, courthouse, etc.), planning to move my palace to a more central location (Ellipi, maybe?), and headed straight for magnetism as fast as I can to try to beat the other civs to the resource continent. I have made peace with everyone; some are still "furious" with me and others are "annoyed," but all will trade. I need a harbor ASAP so I can trade lux to help happiness and maybe throw some citites into WLKD. I think I will learn some things by playing the same game several different ways to see what works for me and what doesn't.
PS What is a "super science city"? What does it do and why have one? (Yes, I am still reading other threads & forums, but concepts I don't understand keep being mentioned/used like everyone should know what they are). I think I'm beginning to understand what you-all mean by "infrastructure," but nobody ever EXPLAINS it!!

Heike