Hi. You are having abnormal uterine bleeding(AUB) and abnormal pap smear
. It is not due to pills. Rather if you have started pills on Monday then there should be no bleeding when youare already on pill. Bleeding after contact is really a matter of concern and I think you should also get a cervical and endometrial biopsy
It is also not perimenopause.follow your dr.'s advise and act accordingly.