That last part cracked me up. Australia is not a retarded country with only 5 hospitals and 7 schools. Sure, there are remote villages where schools or hospitals are hard to come by but chances are very slim that you'll want to live there.
The east coast is the most populated part of Australia. As in best place for living that's hard for us to say. There's heaps of beautiful and great places to live. You can go live in a city, in a suburb, a town, a village,...
As far as I know a biomedical scientist in the UK is a biomedical scientist in Australia. As far as pay goes I wouldnt know, maybe you can look around on jobsites such as seek.com.au, look for a similar job and look what sort of wage is in the job advert. That should give you an idea