Yes, You are on the right way.
P23 12.714.521 identifies him as a '51 - '52 Plymouth Cranbrook built in Detroit.
The leading S makes him a "PlySoto" : equipped with a DeSoto grille and other ornaments.
The PlySoto's grille had 7 teeth, a regular DeSoto's had 9 teeth.
It was a 1951 model.
On my first driving lesson given me by my father, I stalled the motor releasing the clutch.
My father shouted : "HANDBRAKE !!!".
Then I released the handbrake by the chromed handle.
1952 models had a plastic break handle.
So the first thing has been cleared.
For the second thing : this PlySoto left Detroit with a 3.6 liter flathead line 6...
- to be continued -
Erik