[godwine]

A one week rail pass isn't too expensive, maybe if you get a one week rail pass, that will give you the option for Japan.

I would suggest to "go cheap" on hotels, go down to something like a business hotel, that cost you around 35-60 USD a night, so that will shave some cost. With 2 people, you are looking at around 840 USD for the week. If my math is correct, you save around 30000 yen a week

That said, you probably can very well make 1 week (or even 10 days) trip to Kensai area....I am in the midst of planning out my own honeymoon for October/November, here is what I have for the Kensai part (Still planning out my Tokyo side, I am planning for 18 days total):

Day 1 - Hakata
Day 2 - Miyajima
Day 3 - Kobe, Himeji
Day 4 - Osaka
Day 5 - Osaka
Day 6 - Kyoto
Day 7 - Kyoto
Day 8 - Kyoto
Day 9 - Nagoya, Hakone
Day 10 - Hakone
Day 11 - Yokohama

Something like that... I have budgeted around 6000 USD for the 2 of us for this trip....