Is he a Narcissist

So basically the backstory is is we have been together for six years but we haven’t been living together for about three because I kicked him out of the house until he decided to change himself for the better because we have two kids together and he chose drugs over his children so basically in those three years he has been cheating on me so much had a baby with somebody else he got a house because he didn’t wanna move back in so he could literally sleep with so many people behind my back he has slept with so many people that he doesn’t know when he would have to count he’s gotten tested to make sure he doesn’t have STDs before he slept with me he’s literally lied about all this and told all these women lies saying that I would get him in trouble if they told me about them but I figured it out and now he won’t leave me alone he’ll say nice messages and then he’ll send me messages and he’s blamed me for what has happened I’m trying to let go cause I know that’s what is best for me and I was wondering if you guys think he’s a narcissist