Yes - that is a good checklist, assuming there is no gap in the ferrite transformer the only other thing would be to look at whether the wire being used is appropriate for the frequency the Tx is being driven at, for moderate to large currents foil or litz wire is almost the only way to reduce AC wire heating (for frequencies above 35kHz approx).
If the transformer is gapped (as in a flyback) the geometry of the wingings is important so that stray field does not heat the innermost windings.
Regards, Orson Cart.