(c) That's incorrect. Torrens system land is regulated by legislation in each Australian jurisdiction. This includes rules about transferring land title from one person to another. Another word for this process is 'conveyancing'.
Common law rules also exist to supplement the legislative provisions.
The agreed terms of the contract between the buyer and seller of land may also affect the details of the transfer. If the contract is silent on various matters, then legislation may come in to fill the gaps. For instance, legislation creates an assumption that a seller intends to transfer their whole interest in the land. (This reverses the old common law rules.)
Legislation in all Australian states requires any transfer (conveyance) of land to be made in writing. Most states even require the parties to execute the conveyance in a deed. A deed is a formal document that has been signed and witnessed, and which is said to be sealed by its maker.