Many thanks for the quick responses. It sounds pretty unanimous that more time in Kyoto is warranted. We will be flying in from ICN so it doesn't really matter if we fly from ICN to NRT or KIX. Our flight back to the US is from NRT and so we would visit KIX first. We're not that into nightlife, but do like to hang out and see the modern culture as well as the ancient one.
I also really appreciate the advice about the trains. To someone who is unfamiliar with all the lines, names and companies that offer service it is daunting.
Just so I understand, it isn't worth a 7 day pass if we are flying into KIX going to Kyoto then to Tokyo and then Narita. We are staying at the Westin Chosun. I'm confused about the use or JR trains in Tokyo. Do you take those trains within Tokyo or is it all subway? If I need to do a search or there is a thread on this already, just let me know. I hate to ask a question that gets asked all the time. I did do a search, but still found it confusing... almost like a different language of which I understand bits and pieces and concepts, but miss the meat of it.