I'd say that if the location is in Romania, the Romanian name should occur first, with the Hungarian name second (option 1). Similar to how the name of the Dutch city of Leeuwarden is treated in that article. The city is in the Netherlands, so its Dutch name is given and is the article title. It is the capital of the province of Friesland, so its name in Stadtsfries (a dialect) and West Frisian (a recognised provincial language) are also given.