Best lenses for Japan/South Korea

I've been to JPN a few times. Your most used lens would be the 18-135 IMO. 18mm is more than wide enough for tall skyscapers. 24mm might even be enough. You don't have any primes, they would be useful if you had them, ie when the sun has gone down and when you have a limited depth of field with that fast aperture, you looks more different than other people's pictures.

The 70-200 is big and heavy, not sure what you would use that for unless you have a specific task in mind. Maybe street portraiture candid?

Now specific to you. Most people I guess do take picture of buildings in Tokyo for eg .. so the kit lens is useful. So maybe you not gonna do that? You wanna take pix of the "life" and the "speed" maybe a 35mm 1.8 DX would be useful ... and for more isolation a 85mm or your big zoom if you can handle it. But without a kit lens at least not sure how much you would miss it. Maybe on this note skip the 10-20.  Or maybe get a Tamron 17-50/2.8 about half price to the Nikkor highly suggested by others it is, and take your big tele lens.  Now you have more flexibility and down to 2 lenses.  Are zooms so to minimise the lens swappings.