It depends.
Each state has different filing thresholds based upon your filing status and the amount of income earned within that state. Please see do I need to file a state return for more details on each state. Each state link will allow you to see what the filing threshold is based upon your filing status.
As far as extensions, you do not need to file an additional extension request for Alabama, Illinois, or Indiana or Kansas since you have already received a federal extension. These states either allow your federal extension to be used as the same due date for the state returns or do not need an actual extension form.
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