Sperm survive through bleeding???

So those are the dates I've had sex. The 22nd I had very light pink spotting, the next three days I had red bleeding that was very light and not consistent. 
Today I'm having brown discharge that is spotty also and looks like implantation bleeding. 
I'm just wondering, could I have gotten pregnant the 20th/22nd/23rd and the sperm have survived through the bleeding and spotting and what I'm experiencing NOW is implantation? 

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