I've been setting up as site that has multiple languages, including chinese and english
These are the areas that one may concern and needs to be modified,
1. Database field name, since chinese cosists of around 6 to 7 latin swedish ci, so it means you might not be able to see displays of product name in the main page since the preset is around 64 characters, if a chinese word is around 6 to 7 characters, then u are only be able to display 8 words.
In order to change it, you will need to go to phpmyadmin, look for product description and order products on the left menu, then look for structure on the top menu, change the product name character to 255 or above.
You can also look in address book, manufacturers, and other related areas like billing address length etc.

2. If you find in main page, featured and new product's name is truncatedm you might like to go to includes/modules, look for featured and new products.php ,search 30, then change it to 255 or above, now u are able to display all your product name characters in the main page.

3. languages files, the current language files for simplifed and chinese is not fully updated and the translation is not translated fluently. You might need to modify them yourself to fit your site.
You should modify the simplifed version to traditional file since the simplifies is updates to v1.3.8a.
You may also like to change all create account birthdate to the same format for easy reading for your own. you can find related articles in a search.

I will add more concerned areas in short, back to work.