I love the car!!! I looked for years to find a two door sedan. As for the paint, try "color sanding" the paint with very fine wet sandpaper: 1000 - 1500 - 2000 etc then use a polishing compound. It might seem to be a lot of sanding, but your arms will likely be less fatigued that if you went straight at it with rubbing compound, and if you use super fine paper, you won't burn through the paint like you might with a polisher if not experienced with one (I'm not). This is what I'm doing with my '41, and I am so happy it's black - I can spot in and blend any paint repairs to the older lacquer repaint. I know it's old school tech, but I am using premixed quarts of Duplicolor Black lacquer and clear through a $10 Harbor Freight HVLP gun for full panels (like when I had my hood louvered), or a Preval spray kit for small spot repairs.
The nice thing about lacquer is that it's pretty forgiving under "barn job" conditions - if something lands in it when it's wet, sand and polish it out.
Enjoy! It looks like you've got a lot of help to give rides too!