What month is in the twenty-four solar terms of the lunar calendar? In ancient times, what was the order of every three months?

24 solar terms cannot be calculated according to the lunar calendar, but only according to the Gregorian calendar date. Because the lunar calendar is based on the cycle of the moon, and the Gregorian calendar is the Gregorian calendar. Solar terms are related to the revolution of the earth, that is, to the sun, not to the moon, so the 24 solar terms can only correspond to the solar calendar, not the lunar calendar.

The second question is unclear.