It can be fixed, but remember wood was and is a living thing. First, LOOSEN THE STRINGS or take them off! Use some flat pieces of plastic or wood covered with wax paper on the inside, smooth hyde or other waterproof glue onto the top and into the small cracks, put a similar plastic or wood piece w/ waxpaper on top, and clamp flat with small clamps. The plastic or wood needs to spread the tension so the wood dries FLAT. After it sits for a day or so, remove the clamps amd plastic plates, and see what you have.
The larger crack ( looks like just 1 big one) may need to be filled with a good quality filler if it still has open space. After it dries, sand it all smooth gently with fine sandpaper and put on a thin coat of polyurethane varnish ( it will flex better). String it and try it... your cost won't be much, and if it holds up you have your baby back... but no guarantees. This is offered without seeing or holding it, so take it as such. Good luck!