Is it possible to run Autoline reports which show data from GST log for the past periods

Unfortunately, that is not possible because when the GST period is advanced in it clears the GST log for the entries pertaining to previous periods and only retains GST entries for the current or future periods but not for the past periods. You can re-print GST log reports if you had printed off those (before advancing the GST period) to a non-print archive spooler by using retrieve from archive facility within the spooler option.