Welcome to the club. (And beklieve me when I say, you made the right choice as to getting out of the 'on call IT Guru' situation, as I'm one who knows that life too; and I've been using computers ince my junior high days in 1975 - just before TRS-80's the Apple's hit the scene. my first compuyter access was an HP 2000 mainframe via 110 baud aucustic modem and teletype (CRT monitors were rare and expensive in those days; and limited to computer centers in the next room over from the actual mainframe.)
Yep -- my first computer was my father's
Ohio Scientific C8P-DF, which he bought for his business in 1979. The first computer I ever owned was a C=64; the first PC a Radio Shack model whose expansion card slots were slightly different than every expansion card made by any other manufacturer. Fortunately, the judicious use of a pair of diagonal cutters could make other expansion cards fit.
In Junior High School, I took a CS course in summer school in which we used teletype machines connected to the public schools' mainframe downtown, connected via 110 baud acustic modem, same as you.
My first "geek moment" occurred when I saw the big printer in the room next to the mainframe. It had reams of the old green-and-white, wide computer paper. The systems programmer had it run a simple program that doubled a number, then printed it on a line. The printer was so fast that it was literally shooting paper out the back. It was
cooool ...
It was also the summer I discovered
TREK -- the computer game. I then befriended some college students to get access to the local college mainframe on which to play it. Somewhere in Lincoln, Nebraska's landfill are endless reams of green-and-white computer paper with nothing but output of TREK on them ...
Though of course the best iteration of all-time is still
Visual Star Trek. I still run a copy on my Linux netbook under DOSBox on at least a daily basis.
Honestly, I'm still getting used to the notion that I can sleep a full night -- every night -- uninterrupted. It's an odd sensation for some reason. I wonder if it's some low-level form of PTSD ... ?
But yes, rwealize most of your student were actually born about the time TNG hit the syndicated airwaves first run; and TOS is pre-historic; (and I was watching TOS first run in 1969 myself at the age of 6.

)
I was three (b. 1965). With my parents' help, I've identified having watched "A Private Little War" first-run. I remember being scared to death of the Mugatu, though it's my memory of the TV itself that allowed us to identify it as first-run.
Dakota Smith