There are no internal fuses. If you fried it you'll probably be able to smell it once you open the box. Also, you may be able see the final transistor smoked on the board if its bad.
Depending on what model of the 29 you have, you can probably find your radio's tech info at this link: Cobra Radio tech info
If you take it in, its probably going to cost more than the radio's worth. I got hold of a Cobra 148 NWST the other day and it was smoked. The final cost to repair it would have been about $150.00 dollars. Needles to say for that amount I went out and bought a nice little Galaxy DX-979.