Ok relax take a deep breath
This is a quick explaination since you seem pressed for time, if you need more reply back
1. Common Law - aka judge made law, case law/precedent - law made by the courts.
2. International Law - the law that governs the interactions between 'nation-states'
3. Customary Law - laws that have developed from the practices of a group over time i.e. ATSI customary law
4. Statute law - the law made by parliament (aka statues, acts etc)