What are the cooldowns for the Divine Beasts’ Abilities

There is 1 unbreakable weapon in the game, but it has a caveat.

The Sword that Seals the Darkness (also known as the Master Sword) is effectively unbreakable. However, while using it, it will eventually "run out of charge" and can't be used for around 10 minutes, but it will remain in your inventory. The only exception to this is when the blade glows Blue. This means it is near enemies that the game considers to be greatly corrupted. While the blade is glowing blue, it has massively increased durability when striking these enemies. However, it will take normal durability damage when striking rocks/normal enemies/etc, even while glowing blue. It's damage also doubles from 30 to 60.

How to obtain it:

You must go to the large Woods shrouded in fog north of Hyrule Castle. Find your way through them (you cannot paraglider in) until you reach Korok Forest. Sitting in the middle of the forest will be the Master Sword. In order to pull it from the pedestal, you need 13 hearts, as pulling the sword out drains 12 and 3/4 hearts. Temporary hearts do not count for this, you need a full 13 red hearts.

There are a couple of other breakable weapons that are infinitely obtainable.

Each Divine Beast you defeat will reward you with a weapon that represents the Guardian who controls the beast. These can all be rebuilt by NPCs in the city where you obtained them when they break. They all require one generic weapon of the same type, 5 flint, and 1 diamond.

1: Blood Moon spawn rate is tied to the number of enemies that have been killed, modified by a seemingly random value. It has no fixed spawn rate, but can glitch to happen very often, and not at midnight. This can be fixed (reportedly) by completely closing the game, removing the cartridge from the slot, then reinserting it.

2: As said above, it doesn't happen at a fixed rate so can't be tracked in real minutes.

3: 1 second in real life equals 1 minute in game time. It takes 24 minutes for a full in game day to take place. This means it takes 16 minutes for a day cycle (5AM to 9PM) and 8 minutes for a night cycle (9PM to 5AM).

4: No, apart from the glitch, which doesn't count as an event

5: All weapons/shields/bows/materials/ore rocks that appear in the overworld, as well as monster camp chests. Shrine enemies will respawn (including "Test of Strength" guardians), but shrine chests will not.