Others report success with the Starwood --> Qantas transfer, though with varying wait times.
Yours should show up eventually... although if by customer service being unhelpful you mean thatyou get "I don't knows" that's bad -- you should be told simply and plainly how long these transfers take.
Echo beaubo in saying not to go to Randy over this. He didn't offer you Qantas points. He offered you Starwood points, which from your message it appears you received. Randy held up his end of the bargain. Now it's up to Starwood.