How much do you want to bet that the previous owner put electrical tape over the CEL and the TC light?
The bulbs dont run of individual fuses. Take the cluster out/apart and find out if there is electrical tape over the bulbs.
I can guarantee you that there is
PS, you dont need a mechanic to check the fuses
If you need a copy of the owners manual , download it here http://www.linquist.net/motorsports/bmw/3manuals
And here is a video of how to take your cluster apart