The car itself will be from 1966. The push-button door handles were first introduced in 1965. None of the numbers you quote seem to relate to an engine number. The first number you gave is the car #, or VIN# as it is refered to today.
The engine number should be on the passenger side of the engine, stamped on a plate, riveted to the side of the block just below the spark plugs. That number will tell us when the engine was produced.
The second number you quote is the "body" number. There should be two body numbers, which is typical of the bodies built in Coventry at the time. There should be a commission number stamped on a red-bordered plate which is riveted to the hood lock pate at the fron of the car. This starts with G23N, then the number, followed by the letter 'F'.
I can't find a reference to the HZA 4832 number you gave, so this may not even be connected with this car, especially since you found it loose in the trunk. See if you can find the engine number, it would tell us a lot. Good hunting.
Steve