question about pregnancy after birth control pills

So I stopped taking my birth control pills in March. We weren't exactly ttc, more like if it happens it happens. I got sick of all the side effects of the pill so I had to stop. I had a period for 2 days at the beginning of April and then another for 5 days 2 weeks later. I'm going on cycle day 36...no period. I took 2 pregnancy tests today and they both show positive results. could these be false positives? My appt with my doc isn't for 2 wks! I want an answer asap! I don't feel pregnant. Last time it took me 9 months to get pregnant when I stopped the pill. can it happen this fast? I'm just looking for opinions and it past experiences. thanks!