Is that serial number on a silver sticker on the back of the unit or a yellow sticker on the motherboard?
I have a nonfunctioning A3000 with a case serial number of 0001177, made in Hong Kong. The numbers printed on the MB are, FAB 313312 rev 9/02, P/N 313313 rev 9/02. The MB has a sticker with S/N 10577. Does not have the ROM tower. This unit had been through several hands in our amiga club way back before it ended up in my possession. It used to run years ago with a VideoToaster hacked into the case. Not sure what it's problem is...