Yes, it will fit. The widths are the same.
No, not all Studes had the same Dana - the V8s were Dana 44 and most 6-cyls were Dana 27; too weak for performance use.
Maybe, look under there and see. Most Dana had the model cast in the center section. The good news is many Studes came with the Twin Traction limited slip and some decent gear ratios.
Studebaker-Packard V8 Limited