I have added "It is autumn/fall here in October." It is used, and there were many reports for it.
"There is" is not used with seasons in English; "it is" is used instead. The only situation I can think of where "there is" might be used is in a conversation about the seasons -- Child: "Daddy, I am learning seasons at school! What are they?" Dad: "Well, there is Spring, when it rains a lot, and there is Summer, when it's really hot, and...."