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Your home page is always going to rank best, if you have keywords that are simular then you can optimize on one page, if not then give them a page each. The rule is dont make your page un-natural if you cant optimize for a keyword without upsetting useability or without makeing text sound un-natural then you need a new page

Mmm, yes, because the tool is not thought for not Latin alphabets. But that is a problem of the tool not a general problem that also Google may have.