seems like a good workout. a couple things:
something i heard probably somewhere on the internet was that for people new to a discipline, going out and doing something that feels like a workout or a training session is gonna yield improvement. i know that you used to race bmx bikes pretty seriously (or something along those lines), so you have experience, but as a new track rider, as long as you go out there and make yourself hurt (and get proper recovery afterward), then you're going to improve.
the second thing is that like Kayce said, riding with other people is valuable, especially on the track. so head out there on the weekends when other people are riding. there's a kissena velodrome facebook group that might help. racing is also really valuable, so, i hope you'll go to opening weekend and the twilight series. when you race, you get a sense of what you're good at and what you suck at, and that informs how you should train: if you get popped off when everybody is sprinting, then it's your max speed that needs work; if you slowly get tired and lose contact, then it's your endurance that needs work. there are a bunch of more and less refined ways to look at that but even roughly can offer you a blueprint for improvement.
and lastly, i've always liked pyramid intervals both on the track and on the road. 1 minute full gas, 1 minute off. 2 minutes on, two minutes off. three on, three off. four on, four off. five on, five off. then back down again: four/four, three/three, two/two, one/one. it's pretty hard, but also good, efficient, diverse training.