At the very beginning of this episode, Daphne tells Niles she's never had a serious relationship with any guy. But then in the first episode of season 4, her ex-fiance shows up. Being engaged to someone seems pretty "serious".
Daphne's claims to have had no boyfriends. This conflicts with her later accounts of a reasonably crowded love life.
During Martin's story about facing death, he implied that he was shot after going through a door where he couldn't know if there was someone who would harm him on the other side of that door.
But as we saw a few times through the series. He was shot as he walked into a convenience store to get a cup of coffee, by a robber he had startled.