Billie Said:

Is learning how to write your letters considered English and Grammar or spelling and vocabulary?

We Answered:

It's none of those. It's handwriting instruction or penmenship.

Are you trying to find a category to put it in to a planning/progress report? You can just put it under "Language Arts", as well as the other strands of LA you listed.

Shelly Said:

How do you write and say this in English?

We Answered:

Google Translate

http://translate.google.com

IS that word:

Clairvoyance People?

Cathy Said:

How should I teach my (bilingual) child how to read and write in English when she won`t learn at school?

We Answered:

I would buy a phonics program and start with that. She sounds interested in learning to read, so you might as well go with it. You can always do handwriting too, if she is interested. Just move along at her own pace. There's no hurry, particularly because her education for the moment will be in Japanese. If she gets tired of it after a while, you can always stop and come back again when she's ready for more.
Check out http://www.homeschoolreviews.com
I personally will be using the Peace Hill Press products (http://www.peacehillpress.com), "Ordinary Parents Guide to Teaching Reading" and "First Language Lessons." There are, however, plenty of other programs out there, so check the Homeschool Reviews site and see if anything there appeals.
As for what to use in the future, well I can't help there. You'd need to tell us what your future goals for her English development were. The Well Trained Mind forum hosts an "Afterschooling" board for those like yourself who are supplementing their child's education out of hours, but perhaps there are other such groups online. I wouldn't know, since I haven't looked at them. I believe there are a few others on the above mentioned forum who are stationed in Japan as well.