girls, I appreciate your knowledge

I am over 23 and have a stable relationship with my bf for three years now. We have just started to be sexually active (yes, i know, but we wanted to wait). And everything is so new and great, but kinda scary too. I am well educated and know about sex Ed, but there are so many crazy things out there that make me wonder
Is there a chance to get pregnant while on my period? 
If he didn't finish inside, could his pre cum have sperm? 
I appreciate your kind answer. 

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