Incest? Hmm, they are not literally his father and brother from what i understood in this story hehe. Lee Bin is originally a human then became a vampire because of Father. So I think the other brothers were the same.
By brother he mean someone who were turned vampire by the same person (father). None of them are blood related, they're like vamp bros but not actual bros.
The new guy is Lee Bin's brother and his father's ex lover then?