Authors differ in how they derive compass directions and seasons. The most common method is to use tarot's link to astrology to determine directions:
North / Summer
Cups (Water) would indicate the North direction and the Summer season, as Cancer begins the summer.
South / Winter
Stones (Earth) would indicate the South direction, and the Winter season (as Capricorn begins the Winter)
East / Spring
Wands (Fire) would indicate the East direction and the Spring season, as Aries begins the Spring.
East / Fall
Swords (Air) would indicate the East and the Fall season, as Libra begins the Fall.
But you have to find what makes sense for you. This didn't really resonate with me, so I came up with my own method, which I'll blog about soon...