1964 Dart Owner - In Over My Head

WOW, Sweet ride. I agree with Bad Sport. Just tink on one item at a time. If you get mad at something just walk away for a day. Best part about having these old cars is they don't have to be on the road to go to work on Monday. Come back with a fresh mindset and work it through. Obviously the rear lights are a safety issue so I would start there.
Start with checking bulbs, then make sure wiring is in tact. Check for blown fuse? Enjoy it, I love the color scheme on this thing.