How fucked am I?

Before my last pack was finished I was supposed to receive my new pills but they were late. I called my doctor who called the place that ships my birth control and was told it should arrive on time. Anywho I had finished my pack last Saturday and that night my boyfriend came in me then we had sex again during the week while I was on my period and he came in me. I had a very light period for three days which is normal-ish for me. I finished my last pack on Saturday and I started my period Sunday, my BF came in me Saturday and Tuesday. My doctor had said my pills should come in before the end of the week. Unfortunately I receive my new pills late and now my doctor said I have to wait until next month to start my new pack. Because I didn't get my pills until 3 days after I was supposed to start. Do you think my last pack was working/active in me long enough so the chance of me getting pregnant is low?