The PTO does not allow for searches of the file histories, which is what you are looking for. The core data is all that is searchable, i.e. applicant name, application/registration numbers and dates, attorneys of record, goods/services, classes, etc.
Tracking response deadlines and due dates is the function of a docket system or docket calendar. The PTO does not calculate any response dates at all. That is the responsibility of the applicant/registrant and/or counsel. There are many docket systems out on the market with many different price points. I would highly recommend that you look into getting one because you don't want to be dragged into court for missing a deadline. Good luck.