Given the time period I think it's very likely that Spock is going thru Pon Farr since Amok Time is seven years away in the timeline.
I will admit I like Chapel in the show, but I mentioned in another thread that she is Chapel in name only to me.
I personally do treat this show much like the Kelvin Timeline it's canon to Trek but not direct Canon to TOS. Now if the show ends with an exterior shot of a refitted Enterprise that looks like the TOS era Enterprise than I'll change my mind.