Obama changed things and Trump changed most of them back...
You can fly USA to Cuba if you meet one of the special categories (tourism is not one of those).
Basically, you tell a few fibs to the US border/immigration guys that you are going there for other reasons. Hard to argue that you are not a tourist if you are on a Oneworld Award, for example.
If you include a US airline (AA) or a US airport on your itinerary, it will be cancelled by AA.
I provided some information on another thread: here is a copy...
I visited Havana in 2010 flying in from MAD and flying out via MEX on a Oneworld Award. Unfortunately, the airline I flew HAV-MEX (Mexicana) went into bankruptcy not long afterwards so that routing is no longer available.
Despite some suggestions that things may have changed, the rules seem to be the same as in 2010, that is: if Cuba and a US airport, or any US airline (read AA), are included on the same Oneworld Award (or Qantas Classic Award) ticket, AA will cancel the ticket without notice (within a couple of days). This may be why Havana will not show on the QF website.
You can buy a separate revenue ticket to Cuba as a side trip from the USA, provided you can meet one of the special categories that will qualify for a permit (in addition to Visa requirements). Note: tourism is not one of the 12 allowed categories. Some basic information here: Can a non-US citizen fly to Cuba through the US? - Why Not Cuba?
However, you can still include Cuba on a Oneworld Award, provided there are no US airports or US Airlines (AA) anywhere on the same ticket; therefore, the options into Havana (using a Oneworld Award purchased with QF points) are with IB from MAD, LATAM from LIM, and a twice weekly seasonal flight from HEL.
Alternatively, as [USER=19591]@Lynda2475[/USER] says, you can buy a separate revenue ticket from somewhere outside the USA.
Provided you avoid AA and any US city/airport (transit or stopover), you can include Cuba on a Oneworld Award; but as I noted previously, you will have to call QF to book (and hopefully get an agent that knows what they are doing).
Good luck!