This is what you have:
http://www.fic.com.tw/product/mother...cy&model_id=36
Is there room in your case for a standard size mobo? This one is a microATX. You could find a replacement mobo easy enough, perhaps someone with more time can track down something.
Of course, we don't know if its the mobo, cpu, or memory that is bad.
It would be a bummer to buy a mobo, then find that it still will not boot because the memory or cpu was bad.
More info on what the symptoms are is needed!