Engine control is On / off for most systems, variable thrust is rare to see apart from larger systems, equally when in free fall, the choice of propellant also gets interesting, as it may not be at the nozzle but rather a blob in the middle of the tank, possibly using the reaction wheels before any maneuvers to shift it to the nozzle,
Attitude control is Up at an angle, with some fine control to get the inclination and pre-circularisation apoapse in the right place, quad copter controllers deal with harder tasks than that with an ATmega 328, heck at the velocities involved, it wouldnt be that hard to predict the orbit off gps points alone on the initial ascent,
Now telemetry is what you do when all the other bits are idle, even in predicting its final orbit, it will have slabs of time free, as the calculations are well known,