If one finds it probable that the sold meat produce is slaughtered in a religiously accepted way then it is permissible to consume it. It is not permissible to eat if one knows that they are lying.
Australia and those counties fall in the same horizon, so it is permitted for these countries to follow the New Moon sighting reports in other countries with the same horizon, as long as the reports are valid as per the detailed laws.
It is obligatory on the man to perform ghusl if the discharge was semen. Based on compulsory precaution, the woman performs ghusl too if there was an orgasmic discharge, not if it is a little and gradual discharge.