"No, the UPC and serial number labels are NOT part of the box. They are another paper label pasted on just like the UPS label. Only they were like 1"x2" in size, and the big UPS label on top of it, is 3"x5" in size. Hope this is more clear now. "
It still is not clear what you have successfully removed with the hair dryer. Is it the UPS label that was covering the UPC? If so, why can't you now just cut out the piece of box with the UPC label on it and send that in?