Lunisolar Calendar
Traditional Japanese Calendar, Japanese Calendar
The former calendar is the calendar from before. It's the lunisolar calendar and the traditional Japanese calendar. Certainly not the current calendar, anyways.
きゅうれき
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
旧暦の正月といえばいつになりますかね。
When will it be the lunar calendar’s New Year?