Aus cases
A
On 1 February 2020, Australia banned the entry of foreign nationals from mainland China, and ordered its own returning citizens from China to self-quarantine for 14 days.
B
Australia subsequently imposed travel bans on Iran (March 1)
C
South Korea (5 March)
D
Italy (11 March)
E
15 March All overseas arrivals required to self-isolate and cruise ship arrivals banned
F
16 March Non-essential static gatherings of >500 people banned
G
18 March Non-essential gatherings of >100 people banned
H
20 March Travel ban on foreign nationals entering Australia. Non-essential indoor gatherings of <100 people to ensure 1 person per 4 square metres.
I
28 March All people entering Australia required to undertake a mandatory 14-day quarantine at designated facilities in their port of arrival.
J
State governments effectively impose home detention


Notes & Sources
Data to produce the graph is hard to come by.  Unless there is a secret repository on the Internet somewhere, the Australian Government Department of Health does not make useful data available in machine readable form, nor do the state governments with the exception of NSW.  The data for the graph was extracted from a graph in ref. 1, using Graph Extract software (ref. 2).  This will have led to small errors, which should not affect the overall structure of the graph.

NSW provides data on the source of infections in that state (ref. 3) and Victoria provides an infographic that allows the data to be transcribed day-by-day (ref. 4). A graph just using data from these states is presented below, with very similar results.  A further update below shows NSW, VIC & SA R(t) (or Reff as in Gov documents) through 18 April.  This uses data from ref 8. 

A further update on why Reff is not useful when case numbers are low can be found here: http://kintan.com/On%20Reff%2025Apr2020.pdf

The information on restrictions was sourced from the graph in ref. 1 and from ref. 5.

R(t) was calculated using the method and software described in ref. 6.  The Serial Interval Data distribution was determined using patient pairs from ref. 7.

An email on this subject was sent by the author on 4 April 2020 to his local MP, a minister in the Federal Government. A copy of the email is here: http://kintan.com/COVID%20Letter.pdf
References

1
COVID-19, Australia: Epidemiology Report 10: Reporting week ending 23:59 AEST 5 April 2020. https://doi.org/10.33321/cdi.2020.44.29
2
Graph Extract by Quadtech Associates
3
NSW Government Data.NSW
4
Victoria State Government Health and Human Services
5
Wikipedia - 2020 coronavirus pandemic in Australia and references to sources cited therein and e.g. NSW "home detention" public health orders & VIC "home detention" restrictions
6
"Improved inference of time-varying reproduction numbers during infectious disease outbreaks" R.N.Thompson et. al. https://doi.org/10.1016/j.epidem.2019.100356
7
"Serial interval of novel coronavirus (COVID-19) infections" Hiroshi Nishiura et al. https://doi.org/10.1016/j. ijid.2020.02.060
8
https://www.covid19data.com.au/
NSW Vic
      cases
Reff NSW
      VIC SA
Reff NSW VIC