The hose to the air cleaner is not factory, but looks nicely-executed. Only thing better might be to find an OEM section of heater hose with a 90 degree bend formed into it, to replace it.
Considering the hose is in a location inside of the filter element, perhaps that was designed to potentially keep dust out of the engine better than the hogshair breather cap might?
I recall seeing a parking brake "ON" light on an aunt's '52 Dodge. Such things would have been factory equipment, if not optional on the window sticker, on Dodges as they were a more-upscale brand than "entry level" Plymouth. Yet, they could have been option on Plymouths, with the dealer-add-on kit to accomplish the same, if desired by the owner. Or perhaps the kit was really a Dodge-application kit that would work on Plymouths, too?
Back then, according to some of the writings of "Curtis Redfern" at the earlier
Allpar.com, there was quite a bit of competition between Plymouth Division and Dodge Division of Chrysler Corp back then. There were many things they did NOT corroborate on, back then, which continued up into the 1967 models or so. Just as the GM divisions did, too.
As to the Impala back-up lights, until you get the OEM back-up light replaced, leave them there. Might remove the chrome item, though. Later on, with the OEM backup light in place and working (probably with LED bulbs for added brightness), then you can get some reflectorized tape, cut some out and trim it, to cover the white lens. Adding two sizeable red reflectors to the rear of the car. When you get the car repainted, then you can remove them if desired.
The power brake/master cylinder issue also exists up until the body changed in 1962, I suspect. The car magazines back then zinged Chrysler for that situation, too.
It will be a good project AND be worth any efforts to make it operate again as it used to when newer. Please keep us updated on your progress.
Happy Holidays,
CBODY67