The major risk to a disk is if the machine is actively writing to it (not just reading) when it resets or loses power. That can corrupt the data on the disk, which is why you should never use the original disks as anything other than sources to clone for everyday use. Recovering data from a corrupted disk can be done, with varying degrees of success. Diskdoctor might manage it. Transfer anything you do manage to recover onto a fresh disk. If a disk is corrupt, a reformat will normally allow you to carry on using it. As long as there are no hard errors, it should take and hold a format.
When ejecting a disk, make sure it comes out swiftly and smoothly - sometimes your finger can slip, and the thing gets stuck halfway or pops back in... again there is a risk of physical damage to the floppy surface, but it is quite a slight risk. A good firm press on the button should make the drive eject cleanly. Amiga floppies are amazingly durable, and you should experience few problems. Do beware of hairs trapped in the mechanisms (pet owners), and try to avoid very dusty atmospheres with fans blowing dirt onto the machine.
Ed: as you are in Oz, look out for spiders. :-)
