Here's a wee bit of evidence that you can TWF with unarmed strikes.
Metal Subdomain wrote:
"Metal Fist (Su): As a swift action, you can turn your fists into meta for 1 round, allowing you to make unarmed strikes that deal 1d6 points of bludgeoning damage plus your strength modifier. These unarmed strikes do not provoke attacks of opportunity, but attacking both uses the two-weapon fighting rules as normal..."
Because of this, it seems fairly clear cut to me that the intent is for you to be able to use TWF an extra OH attack with your UAS. And, as has been stated, TWF and flurry won't stack.