Does this sound like addiction?

my boyfriend was addicted to cigarettes for like 6 years and he finally stopped a week before our son was born in October. He’d also been addicted to cocaine, alcohol, and marijuana in the past and I helped him to stop. But last night he left our son alone to go hit his e cig and I was mad. I told him I wanted him to stop, I couldn’t deal with his addictions anymore. I tried to throw the e cig away in the trash and he slammed the door on my head 3 times. he screamed at me saying it’s stupid for me to be mad. I don’t want nicotine or any kind of addiction/drug around my son and I don’t think I was being that ridiculous. he said it was also a problem because I was “wasting his money” by throwing away the $30 e cig but he spent at least $300 on video games in the last month. he says he’s not addicted but I think he’s in denial..