Yes; this must be the right place to ask for some info, as everyone here is very kind and friendly.
You plan of staying some time in Tokyo and also visit some other cities sounds like perfect.
Tokyo can be hightlighted by many different features, and VERY different from other cities in Japan too.
If you wish to see some traditional Japan, you'd definitely want to vist Osaka and Kyoto area.
If we can help you with anything including of course the lessons, please let us know!
Hope some people can also help you with best spots to visit!