Hi, Rooni. Welcome to the forum and welcome to the sport!
Read this:
https://www.bikeforums.net/track-cyc...ack-racer.html
Understand that fitness is the number 1 differentiator in the beginner and intermediate ranks. If you blaze through that, then you start racing others that are just as fit as you, then they kick your ass using bike skills. So, don't shy away from that in your training. If you can't do it at 25mph/40kph, then you won't be able to do it at 40mph/65kph.
Once a week at the velodrome is enough. More would be better as a beginner, but take what you can get. When you go, don't focus on laying down top speeds and whatnot. Put on a lower gear and stay out there as long as you can. You aren't there to go fast (right now), you are there to learn the curves of the velodrome in a pack shoulder to shoulder with others. At this point, you need comfort on the track. You don't want to be super fast and uncomfortable...that's scary for you
and everyone else on the track, because they can see your discomfort (believe it or not).
Keep us posted!
Also, bear in mind that this is a relatively "slow" forum. But, the signal-to-noise ratio is very high
