I also think it's safe to say the Cage (Menagerie) happened beforehand.
Unfortunately no, that's not safe to say. In the movie Pike talks about it being the Enterprise's
maiden voyage. It was pretty clear to me that there weren't any missions before that.
Ah, I didn't hear maiden voyage. It seemed like before Kirk got there some folks were already assigned. Although, I've only seen it once!
Teacake, not me. I thought it was awesome.