Don’t have any dash, dome or tail lights when headlights are on?

To trace why there are no Dome, Tail, or Dash lights.
1. As Del mentioned, front parking lights normally are only on when the headlight switch is pulled out to the first click. Tail lights should of course be on as well.
2. Since the Brake lights, Tail and Dome light share a fuse, see if the brake lights work.
3. If the brake lights are also out, then check for power at the fuse.

I just happen to have the fuse box from my 67 barracuda on the bench.
Looking up at the fuses, second one in from the driver's door should have power.
upload_2020-6-19_17-22-33.png
The contacts the arrows are pointing to are connected to the battery.
In other words they are always HOT unless the battery is disconnected.
upload_2020-6-19_17-40-15.png

If the tail, stop, dome, fuse is blown or not getting power, then the instruments lights can't get power either.
So solve this part first.