is this a good sign?

so long story short, my husband got back from deployment and because i had surgery we didnt have sex until the end of may well i ended up pregnant in july without even trying i was even taking birth control. i had a chemical at 4/5 weeks around august 15th now because i was on BC when we got pregnant i feel like its sorta a good thing because its gotta mean we are both fertile. i am hoping this is true and i can get a positive hpt for my bday in a couple weeks 🤞🏻 we decided to start ttc because we were suprisingly so ready and happy for the last pregnancy we lost. so i am just wondering if getting pregnant so fast a good thing. heres to hoping i get a good bday present! baby dust to everyone! 🌈❤🤞🏻