Most important - recoil lug bearing
The recoil force is intended to be taken up by the recoil lug against the wood, not the system screws in their bushings. The lug is flat-faced, to produce a purely compressive force, whereas the bushings will always tend to split the wood by forcing it apart like blunt wedges.
When you have repaired the splits, but before finally reassembling and shooting the rifle, you must make sure that the lug is bearing properly. Your photos do not show the area concerned, but the cracking indicates that the wood behind the lug has been battered so that the load was being taken by the screw bushing. You will need to restore the lug bearing by repairing the wood and/or shimming between the lug and the wood.