Rex has a mid-week promo sale on. Ie it's cheaper to fly during the week. Of course, that doesn't mean there aren't other days that are cheap too! I've gone through and found the cheapest dates for the next 3 months, which includes Easter.
These one way fares from Rex include checked luggage and carry-on, as well as refreshments.
Rex also has the lowest cancellation rate of any airline in Australia in the past month, and most on-time flights of any airline too.
If looking for a return flight, consider that two one ways can sometimes be cheaper.
Some dates Jetstar/Virgin/Bonza (maybe Qantas) might be cheaper, that'll just show at the top of the search. You can use the filters to choose the airline you prefer.
Consider one of the more unusual accommodation options in Australia for your stay.
Summary:
Melbourne - Hobart (01 Feb - 30 Apr) from $93
Hobart - Melbourne (01 Feb - 30 Apr) from $93
Sydney - Melbourne (01 Feb - 30 Apr) from $92
Melbourne - Sydney (01 Feb - 30 Apr) from $93
Canberra - Melbourne (01 Feb - 30 Apr) from $84
Melbourne - Canberra (01 Feb - 30 Apr) from $93
Sydney - Gold Coast (01 Feb - 30 Apr) from $93
Gold Coast - Sydney (01 Feb - 30 Apr) from $93
Melbourne - Adelaide (01 Feb - 30 Apr) from $93
Adelaide - Melbourne (01 Feb - 30 Apr) from $93
Brisbane - Sydney (01 Feb - 30 Apr) from $93
Sydney - Brisbane (01 Feb - 30 Apr) from $93
Gold Coast - Melbourne (01 Feb - 30 Apr) from $108
Melbourne - Gold Coast (01 Feb - 30 Apr) from $113
Brisbane - Melbourne (01 Feb - 30 Apr) from $123
Melbourne - Brisbane (01 Feb - 30 Apr) from $123
Adelaide - Brisbane (01 Feb - 30 Apr) from $137
Brisbane - Adelaide (01 Feb - 30 Apr) from $137
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