That is a oil cup.
These older dist don't get oil up the shaft like the newer dist do
It's an autolite dist. There should be numbers stamped I to the side.
Look in your years FSM for probable numbers
You are missing the vacuum advance can.
Dual points are a special breed.
Get your FSM and study up the dual point section.
Tip...
There are points for BB dual point they are NOT the same as the SB points, and the dual points ARE NOT the same as single points
The cap rotor and condenser is also different than single point
There is a ground strap between the case and the point plate. It MUST be there and allow the breaker plate to move freely.
I bought a used dual point. I took it all apart and cleaned it up in paint thinner.
It's pretty simple to disassemble. A couple clips and some screws.
Take LOTS of photos as you take it apart.