As usual, the meanings are broad and overlap.
Nowadays, "belongings" is usually used in phrases like "before exiting the train, check to make sure you have all your belongings." It means all of the small items you are carrying with you. It emphasizes that you are carrying them on your person. It usually means physical items that can, for example, be counted.
"Property" emphasizes ownership. "Property" means "mine, not yours." I can lend you my lawnmower, but it is still my property. "Property" can be something big and important. It is often used to mean real estate--land and buildings. It can be something abstract; a copyright on a song is "intellectual property."
"Possession" emphasizes control.
You: "I'm going to take the bus into town."
Me: "Oh, it's raining, let me lend you my umbrella to take with you."
1) My umbrella is in your possession. It is no longer in my possession.
2) As you get off the bus, you forget to make sure you have all your belongings. My umbrella is one of them. You leave it behind on the bus.
3) My umbrella is no longer in my possession, but it is still my property, and I expect you to return it. What an awkward situation!
4) But perhaps, with luck, you will be able to find it at the bus station in the "lost property office."