I had a 1962 Chrysler that was basically this car. I found it odd that there was no "park" in the automatic transmission. The park brake was connected to a brake drum on the drive shaft and even adjusted properly was very "iffy" if it would hold. I don't know if you already did this but a rear anti-sway bar on these old mopars make it amazing to drive. There was or still is a company called Addco in lake park florida that sold exact fit anti sway bars for my 1962. It made the car so much more stable .
Cool! I had a 61 dodge Senica in 1970. 4 door, slant 6 with a 3 speed stick. Put a hurst floor shifter in it and had a fun car. I couldn’t kill it but I gave it to my younger brother and he managed to blow it up!