1. If there is a direct flight, get on at the connecting station. It should take about half an hour, and the fare is about 25.
2. No tickets are needed
3. The ancient town is not big. As Taige said upstairs, half an hour is enough. In fact, only one street is "ancient" and was renovated later. Snacks, most typically beef, can be taken away in bags.
Low consumption.
4. You can stay. The conditions depend on which one you choose, but personally I don't think it is necessary to stay because it is too small. To tell the truth, there is nothing to play. You can return the same day. So in general, excluding the accommodation and gifts brought back, the consumption of two people should be around 150 (including the round-trip fare).
I hope I can help you!