I don't think I have a single piece of kit with (real) rosewood finish, but on teak, I have had great results with sanding it first down with fine wet sanding paper (without water, obviously) and then applying teak oil. It will look very dull after the sanding, but the oil brings it back to life! You can try fine wire wool as well, but in that case you probably have to get the electrical parts out because you will have steel wire pieces all over the place. They might cause electrical shorts and your tape mechanism certainly won't like them.
You might also try cleaning the surfaces with white spirit first, could be that something has evaporated from the plastic in the cassette cases and darkened those areas in addition to the sunlight fade around them.
In any case, you will have to get a little bit of the veneer off to get rid of the unevenly coloured surface layer. Small scratches and dents will disappear at the same time. Use a sanding block, and be careful not to sand through the veneer - it got thinner and thinner with the years, but I guess a BC1400 will still have enough real wood for this to be feasible. And careful around the edges so you don't rip the opposing veneer off.
I don't think I need to advice you to keep the abrasives well away from all the aluminum parts!