It's definitely Chinese, and you've got a Chinese lock on it too, very similar to a lock I have on a . Can you post some photos showing the construction? That would help a lot in order to be able to tell if it is antique or reproduction.
Pull out the drawers and look at them. The old Chinese drawers slide on wooden rails attached to the underside of the drawer, and at the edge of the drawer opening, you should see groves where the drawers have been slid in and out for years. Also your doors should not be single pieces of wood, but made of multiple pieces, so that they will flex as the wood shrinks and expands. You should see signs of wear where the doors have swung open/closed. Take a look at the mortise and tenons, the rectangular "joins" where pieces are fitted together. You should see some irregularity in them if it is old, with some pieces having shrunk, and others protruding out, as the wood has shrunk over time. You might also see some wear inside the drawers where stuff has rolled around.
This Web site has several excellent videos that explain how to identify antique vs. reproduction furniture.
http://www.chineseantiquefurnitureshop.com/videos.htmlJohn and Eugene, the two guys in the videos, are VERY nice and if you contact them, they can tell you more about your chest. I'm not an expert, just a Chinese furniture junkie.