The mechanical and/or vacuum advance/retard will turn the plate relative to the housing. Fine stranded wire will withstand repeated flexing better than a solid core wire.
Re your order, I’d recommend replacing Points, condenser, Cap, rotor, and ignition wires. Likely some fuses and other things...
Dwell meters are very worthwhile… but I suspect are getting harder to find. When I bought my 40 the parts stores had them sitting on the shelf next to timing lights… now you’ll likely need to order one online.
Most ticketed mechanics these days probably have only seen points in pictures and...
Coil should be fine. Based on the one pic, and that you’ve likely not changed them in the last 12 years I’d replace the plug wires also.
Be sure the replacement for the green wire is stranded wire as it will get flexed. Also check your grounds between the engine and frame and battery.