Be careful not to confuse the font name with the file name. Windows uses the file name to install a font, while the font name is used to identify the font.
To change the font name select the Font tab from the Font Properties panel and edit the Family Name.
For non-latin fonts, like Chinese, Japanese, Korean, Hebrew, Arabic, etc, you can add localised names, accessed by pressing the [...] button.
In case you also want to change the style name, select the Instances tab from the Font Properties panel, make sure the default instance is selected (and include on export is checked), and edit the Style Name.
For non-latin fonts, like Chinese, Japanese, Korean, Hebrew, Arabic, etc, you can add localised names, accessed by pressing the [...] button.