On these models, each metal can is held in place with two original rivets on the back face. Drill out each rivet with a 1/8" bit, then gently pry out the metal can with a flat blade screw driver and a rag to prevent any scratches. Be gentle, the aluminum taillight housing if fragile.
There are connector plugs behind to disconnect the unit from the wire harness. Check condition of wire for any worn insulation and replace if necessary.
Clean or replace the 1156 bulb socket if corroded for the taillight/turn center unit,
Clean or replace the 1157 bulb socket for the backup lights
Por15 rust system works great if the metal cans can be cleaned up and painted. If not, replace.
Vintage trailer supply has them.
BAY15D Bulb Socket for 1157 Bulb
Out -of -doors mart has LED upgraded lens units that plug into your Bulb socket. They come with new gaskets and SS screws. Original SignalStat Regular lens are available from Trucklite model 9021 (red) 9021W (clear)
LED Sealed STT for Airstream units from 1965-74 STT65-74AS [STT65-74AS] - $29.95 : Out-of-Doors Mart!, More Airstream Parts on-line than anyone!
Aluminum taillight housing is attached from inside with six 1/8" rivets to the shell, then a plastic interior housing is sealed from the interior behind the interior wall. If yours is intact and secure to the shell, just calk the perimeter of the housing.
Take your time, do a good job, secure everything, and the lights will be bright, have a good ground, and be safe for road use.
Hope this helps you.