I haven't read all the replies. If you go to Cradle mountain go to Sheffield and see the murals. Also Tasmazia and the village of lower crackpot is there too.
I would pack some long sleeve tops and be prepared to layer. It is a different type of heat in tassie but you can also have 4 seasons in one day. My in-laws went in February and found it very cold. I went in September a few years ago and froze. DS was well rugged up.
There are not many shoppign centres (malls) as such in the NW - ie Devoport, Burnie etc But you can find a Harris Scarfe in a lot of these towns and/or Coutnry Target. Just Jeans used to be in devonport too.
THe PP who said they went to the peacock zoo - that is the cataract gorge. There are lots of walks around there.
City zoo with the monkeys in LAunceston is good too. There used to be a sensory garden as well.
Enjoy your trip
Teh west coast is usually even colder. Rains a lot.
Remember that the roads are windy so it may take you logner to get anywhere