Well I finished my second game, this time on Monarch. It was the same settings (continents, normal, normal) and the same Civ (Inca). My (normalized) score was a lot lower, and my victory was 20 years later (1886). I only had one war in this game, which consisted of a Qechua rush of the Burger King. He was close, and this time I got them out the door fast enough. He founded Buddism for me, which was awfully nice of him.
My other neighbors were Cathy and Shi..., er Sitting Bull. Cathy became my buddy and kept feeding me religions. Both of them were cowed by my power, which was #1 in the world from about 800 BC. I played it smart and accepted her religion as did Sitting Bull, and we all got along Ok for most of the game, with only a little late inning espionage.
I think for my next game I'm going to play a random Civ and play the victory type by ear. Monarch seems about right for me at this point, and I do need to learn how to get along without the Qechuas and Financial. My diplomacy improved this game as did my city specialization, but I can tell that there is a lot more to learn about both areas. Any comments or advice are welcome.