I bought the Car
Lets see, from the '69 Plymouth Service Manual
BH29 translates to Barracuda 2-door spoorts hardtop
F 318 cid V-8
9 Model year 1969
B Hamtramck Assembly Plant
From the 1971 revision of the '69 parts catalog
E44 is 318
D12 is A230 C/S (column shift ?)
I think
H6X is standard black interior and X9 Black velvet exterior
What's in it now you or your son will have to figure out. Its part of the fun.
I spy a later or replacement radiator. Check clearences, if its fitted nicely then it will be no problem. It may have a later engine (waterpump outlet on passenger side).