1. You will wait a long time. They're very slow to respond to any form of communication, I waited several months.
2. The WOMBAT test occurred very soon after first receiving their email to say I was through. It's pretty tough.
3. Phone interview happened for me a week or two after the WOMBAT. They didn't mention this anywhere but it is entirely technical in nature, so do your homework.
4. This was a few weeks after the phone interview and included and flight sim check. I felt it went well but was unsuccessful here. Advice would be to hire a sim for an hour before hand so you don't have to learn it for the first time while being assessed (it felt nothing like flying a real aircraft, so all my training actually worked against me). Actual interview was a combination of more technical questions and a few motivational/behavioural questions.