First of all, I am terribly sorry to hear about what you have been through. I went through something similar and I highly recommend long-term counselling.
The answer is NO. There is no requirements for employers to test for HSV, and no requirements for disclosure. As long as the diagnosis does not have implications on your work performance (which it should not, except side effects of the anti-virals can knock some people around) then there is no worry.
For NSW, the immunisations required and what they will screen is located at: Occupational Assessment, Screening & Vaccination against Specified Infectious Diseases - NSW Department of Health