To answer all three of your questions in short: yes.
Future "commercial" fusion plants will hopefully be able to reduce all three sources of power: auxiliary heating, magnets, and other subsystems.
It is impossible to give precise numerical values in MW for how much of this auxiliary power can be eliminated because that would require me to speculate on future technologies which do not exist yet (for example, if we had room temperature superconductors, you wouldn't need any of the cryogenic systems necessary for present superconductors).
Nevertheless, I can comment on some common threads running through various Advanced Tokamak (AT) concepts these days.
(Better) Superconducting magnets - Calculations of the fusion gain, $Q = P_{fusion}/P_{CD}$, find that it is proportional to the magnetic field cubed, i.e. $Q \propto B^3$. Therefore, any new advancements in making higher fields at lower power 'cost' pay off big time when it comes to fusion (in my expression for $Q$, CD = "Current Drive" is the auxiliary power one must put in to drive the large toroidal current in a tokamak).
Efficient Non-inductive Current Drive - AT concepts also like to hope for more efficient ways of coupling power into plasma. To answer your first bullet point: no, our present abilities for power-coupling are not optimal, and this is the subject of active research. Also, to answer your question regarding eliminating heating/current-drive upon ignition: I believe the consensus on this is no. Even in so-called steady-state tokamak operation some amount of power is needed to drive current/heat the plasma. AT concepts typically try to have a large fraction of the toroidal current be self-generated (this is called bootstrap current).
Compact Design - Everyone realizes that ITER is far too expensive (big) to be the gold standard for fusion energy moving forward. So to address your last point about lowering the power-budget for "other systems", I have to imagine that having a smaller machine would reduce power needs. Also, recall that smaller machines are more economically competitive (less expensive, faster build-time).
I would like to refer you to this recent DIII-D Tokamak review as well as this article about the SPARC Tokamak for further reading on more efficient (both in terms of power and cost) paths to fusion.