[Arran]

 For the carving you could probably make a replacement piece out of poplar, which was probably what it was made from originally, though if you are not skilled with chisels and knives find someone who is. Regarding the top, what makes you think that the veneer needs to be replaced? To me it looks like the finish was water damaged and that it possibly has a minor stain or two. Unless it's badly chipped and peeling off I would have a go at stripping the finish off first to see what condition the veneer is actually in before even thinking about replacing it, stains can often be removed and will sometimes come off when the finish comes off. For the record the species appears to be French walnut, but with the coloured lacquer on top it's hard to tell what species and what cut it is.
Regards
Arran