1. The converter has nothing to do with the 120vac side of the camper; it changes 120vac to 12 vdc and most likely is located within the AC/DC distribution panel.
For no 12 volt check the 30 amp fuse from the battery and the fuses in the distribution panel and the breaker that feeds the converter.
2. and this may have more to do with everything. Since you can run from the ginny if your GFI wouldn't reset on shore power and does on the ginny then look for GFI fault.
3. All of this may have resulted from an over voltage condition. I doubt it went to 220vac as your breakers should have tripped. Voltage spikes in CG's are not un common because many times the wiring is marginal. Or it may result from a power company switching something in or out of service.
4. What caused the TV to fail may have also taken out the converter.
A careful step by step inspection of everything is in order.
When something like this occurs the best procedure is turn of the shore power breaker then check and note any tripped breakers, GFI, or blown fuses in the camper.
We had a problem once where the 30 amp pedestal GFI would trip but not the GFI in the camper. Turned out to be two problems; water in a conduit under the camper and the camper GFI was defective. Although not related to your problem it shows how careful you need to be in checking things over.