Rory,
Your family's Model B pickup looks to be in great shape with very few things added or subtracted since it was built. One of those is the heater, which Ford did not offer in any form during the '32 model. Many added aftermarket hot air and hot water heaters in colder climes.
Is the starter motor switch foot operated? It appears to be so, especially since the steering column bracket pull cable for the early switch is absent. That plus the larger diameter oil filler tube suggest that it was produced fairly late in the model year.
It also appears to have the original radiator cap. Dented or not, for reasons that are not especially self-evident, they are scarce and have become expensive. They often take wing when left unattended at drive-ins and car shows.
Hopefully your shock absorbers are rebuildable. There is a good source for that work when you are ready. I've some extra shock arms.
The front bumper appears to be more than up to the job.