He also killed a police officer in ASM 300 and he did threat Aunt May in their second fight if Peter decided to bring reinforcements with him, thought by the time of their third fight Eddie seemingly decided to just focus on Peter, he even save a baby's life in the middle of a battle with him.
Mind you, i don't know how many people he killed during his stint as the 90s Lethal Protector, but i assume that most of then were criminals. Still, i doubt that Eddie's killing is anything close to Carnage, Punisher or even Wolverine.