The Flues SBT was only made for eight years and in that time went through three versions. Parts are made from unobtanium. IMHO address the cracks in the forearm wood, have the checkering picked up if you like and replace the Morgan with a period correct pad.
FWIW the Ithaca pad wasn't introduced until 1932, well out of the Flues era.
1932 Ithaca Recoil pad.jpg