Am I dealing with a narcissist?

I just started seeing this guy a few months ago. I met him through social media but some of the things he does are very weird and questionable. He has made a fake page using my name and goes on that fake page and likes all of his personal Facebook post. He has posted a childhood picture of me on his Facebook story and attached some lovey dovey song to it. He found the found on my real Facebook page. He has made post on Facebook begging me to come back “home” to him because believe it or not we have gotten into it, physically, pretty bad even though we haven’t even been talking/have known each other that long and it caused me to leave which is why he was begging for me to forgive him and come back to him on social media. Crazy enough, I listened and believed him and went back to him and he has posted what I thought should and would be a personal video of me on his lap, grinding on him (clothes on of course) and he over edited the video and the entire video/ moment, he’s more focused on staring into the camera and recording the moment than enjoying the moment with me. It just seems like he’s either up to something and trying to make someone jealous or he’s just plain ole weird.

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Not to mention he has several baby moms and his youngest kid is 16 months old.
Am I dealing with a narcissist?
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