Is that a sign of narcissism?

My boyfriend (and a coworker) is showing some disturbing personal characteristics recently.

The list is getting long, but the most recent thing is that he pretends (not sure) to have forgotten my date of birth, but to remember everyone else's birthday. I mean his friends and our other coworkers.

I got upset, because it makes me less valuable and important compared to random coworkers.

I complained and he said "it's a minor thing... not a big deal".

He tried gaslighting me many times (examples: many times is saying the exact opposite of what I said just to piss me off and later when I said "oh you are always opposing me, what's happening now"... he replied "me opposing you, that has never happened"... I told him "you never apologize"... he replies "because you always say that my apologies are jokes"... how can I say that when he apologized only twice).

Anyway... I think you got an idea of what's happening.

Is that a sign of narcissism?
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