Welcome, welcome.
Most coaches today are teaching the basics with the end-goal of having a skater able to do an axel or doubles. A lot depends on your ability/condition (sounds okay) and time/money/ice availability.
However, you can't just focus on jumps.
Edges are the foundation of this sport. Jumps with poor edges and uncontrolled landings are not looked upon kindly.
Stroking, crossovers, etc. are what set up all our moves and allow us to flow across the ice successfully.
Spins are critical to succeeding. We use a lot of spins as training drills as well as demonstrations of control, skills and speed.
Turns and transitions (spirals, spreadeagles, etc.) are key to making a program succeed with audiences and judging panels.
So, don't focus on one goal too early. Skating is like building a sandcastle: a solid foundation lets you build higher.
I've always wanted to know how spins work in Twirling. My mom was a Twirler back in the day and she taught me the basics of twirling a baton, but I never asked her about the spins. What part of the foot do you use? Are there special shoes? What do you do with your shoulders? Do you spot? (The latter is a major difference between ballet and figure skating - we'd get whiplash if we spotted on spins - the speed of a perfect spin is just too fast to allow that, physically.