I don't know if any teenagers post here, but maybe there are posters who started with the Abrams films and then discovered (no pun intended) other Star Trek series through Netflix? Maybe they can say how they delved further into Star Trek afterwards.
A few of my friends told me there's a local station that's airing the first five Star Trek series every day. H&I Television Network. I haven't watched it. I don't normally watch TV (yet here I am posting about a TV show) except on Netflix or online, but maybe new fans are discovering TOS, TNG, DS9, VOY, or ENT that way. "But those shows are old! Kids won't like them" Maybe.
But kids today seem more tolerant of stuff from decades before. Which surprises me, to be honest. The '80s and '90s to them (20-30 years ago) are like what the '50s and '60s were like to me when I was a kid. Back when I was growing up, if you liked anything from your parents' generation, you were the exception. And most wouldn't be caught dead admitting to it. Hence the expression, "It's an oldie, but a goodie." You had to have the qualifier. But I didn't think the '50s were cool like kids today think the '80s are cool.