Don't really know, but it will be local. City by city and burb by burb. I suspect that areas with lots of students and share houses will have less demand as tenants typically have jobs that have been very affected (eg bars). These tenants also have a greater ability to move back to the parents or bunch up than families.
Tenancy laws are a state matter. Morrison would like to think he is king but it's up to the states. Check out your state rules. Queensland has passed it's laws, which don't seem dramatically different to current laws. Commentary I read said that LLs would be issuing eviction notices, even if they had no intent of evicting so they could claim lost rent on their LLs insurance policies.
Congrats on the new job.