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What year Airstream is this? Do you have fuses or push button breakers for the 12 VDC circuits? It sounds like the light has a short and it is on the same circuit as the fridge, so when you shorted that out and it "popped" it blew the fuse or DC breaker on that circuit again. The fixture may have a short in it and need attention or replacement. Try replacing the fuse or reset the breaker again and leave the bulb out. Fuses can look good and still be bad or the DC breaker may be bad. Testing can tell you for sure. A 12 VDC test light or small digital multimeter like you can find at most hardware stores for about $20 would be very helpful for this. See if the fridge comes back on. Let me know what happens and we can go from there. All follow ups are included in our fee.
Did you get this resolved or do you still need some input from me here?