OK, here, it depends on what state you are in.
In NSW and VIC you can have up to 5mW. Anything over that which is HAND HELD and BATTERY OPERATED over 5mW is a prohibited weapon. In NSW you are allowed to posses one if you are a member of an astronomy club.
Shooters licenses have nothing to do with lasers.
For those not in Australia who don't know, here is a summary of the laws:
You can only get a firearms license if you are (a) in a shooting club, or (b) are a land holder or have written permission from a landholder to control vermin, and have no criminal record. All firearms have to be registered, stored in an approved safe and the police can enter your house to inspect it at any time without a warrant.
Assault rifles are totally banned.
Any semi auto or pump action shotgun has to have its magazine crimped to hold a maximum of 3 rounds. Box magazines over 5 rounds are illegal. You are only allowed to be in possession of a firearm on the way to or from a club or when actually going shooting. You can't just carry one or have one in your vehicle.
Pistols are only allowed to be used at clubs or carried to or from clubs, not for hunting. In order to get a pistol license you also are fingerprinted and have a police check.
Once you have a license you have to apply to the police first before you can buy each firearm and they are all individually registered.
I had a mate who's son was charged because they found an unregistered .177cal air rifle under the bed left over from before national gun laws, he now has a criminal record and is banned from owning firearms for life.
In Australia you are not allowed to defend yourself with a firearm or any deadly weapon.