The bow can definitely be salvaged and repaired.... But with those splits so far down the limb there would be no guarantee it will not continue to split if it were shot again.
The toughest part about that repair is going to be getting the string out of the split without splitting it any further.
Even if you could get the string out clean, the odds are the string wax contaminated the core and nothing is going to bond it together again. The only thing that would hold it together is new overlays on the back of the curl, and new tip overlays. Of course you would have to do both ends to match... Even then..... those limbs could split length wise if it was to be used.
Fast flight string without padded loops on an older bow without tip notch reinforcement is a recipe for exactly what happened...
But.... it could be repaired enough for a wall hanger no problem. Kirk