1. the Hangzhou Airport only supplies one shuttle bus to downtown Hangzhou, the terminal of which is just at Wulinmen.
2. the Xinqiao Hotel is located about only 3kms away from Wulinmen, so you four could take a taxi to arrive there directly. The fare is around CNY10.
3. if you take a taxi from the airport to the hotel, the fare is no less CNY100.
4. the Hangzhou Railway Station is only 2kms away from the hotel, so please take a taxi.
5. yes, you could purchase a train ticket at Hangzhou, However, it is difficult to purchase a ticket on the spot during the peak travel season.
6. the Six Harmonies Pagoda is located at the West Lake, you could find it easily. Its Chinese name is 六和塔(Liu He Ta)
When you walk around the West Lake, you could catch the bus Y2 easily, which could take you to the Ling Yin Temple directly.