estación vs. temporada
As you already know, season translates to Spanish as estación.
The Spanish word temporada is used for most other "seasons", such as for "football season", "bullfighting season", "television season", "opera season", etc.
Mi estación favorita es la primavera.
My favorite season is spring.
Esta temporada de fútbol será fenomenal.
This soccer season will be phenomenal.
Dates
To give the date in Spanish, use the definite article "el" plus a cardinal number (e.g., dos, tres, ... treinta y uno) plus de and the month (plus "de" and the year). For the first day of the month, use primero, not uno.
Hoy es el primero de enero.
Today is January 1.
Es el dos de febrero.
It is February 2.
Estamos al 31 de marzo.
Today is March 31.
To ask the date, use one of the following:
¿Cuál es la fecha hoy?
What's today's date?
¿Qué día es hoy?
What day of the month is it?
¿A qué día del mes estamos?
What day (date) is it today?
To give the year, use the regular number, normally with mil (1000), as in one thousand nine hundred eighty eight (do not try to use the equivalent of nineteen hundred).
June 1, 1853 - el primero de junio de mil ochocientos cincuenta y tres
May 22, 1987 - el veintidós de mayo de mil novecientos ochenta y siete
March 30, 1990 - el treinta de marzo de mil novecientos noventa
October 15, 2000 - el quince de octubre de dos mil
December 17, 2002 - el diecisiete de diciembre de dos mil dos