Joined: Nov 2016
With the '65, your transmission has a small dot, then a big dot, then L. Unlike later transmissions, to work properly, your car needs to be in the "big (green) dot" position. Small dot will start in 2nd gear, and shift to 3rd normally. It is useful for snow and ice, but not for normal driving. The big green dot position starts in 1st, and shifts automatically between gears, all the way to 3rd. L keeps your car in 1st gear.
Hopefully, the "problem" is just that you're trying to use the slot just below N (little dot), and that's making your shifting seem odd!
I smile a lot. It makes people wonder what I'm up to...