You have experienced all the three cases but you probably don't know why. Untill now.
First,
You are doing a thing. You suddenly remember you did it before. And suddenly what you're gonna do next is gonna come to your mind. Damn!! You think you're Charles Xavier. You're Not. That's Deja Vu. Now I think I am Stephen Hawking. I'm not. Because you probably all knew that already.
But what you don't know that it isn't some supernatural shit. It's a basic mind flaw. Not going into Neural Science. Keeping it simple,
Our left Hemisphere does all the observation. Our right hemisphere does all the calculations. So because of a flaw there is a milliseconds delay in passing that information. Yes only milliseconds. And the right hemisphere is dumb. It thinks that thing happened months ago. Sorry to break your pseudo science fantasy.
Second,
You are driving a Car. You pass by a dog and he starts chasing your car. You think he's a dumb animal and you start driving faster. You think you are Niki Lauda. I . But he sure is not dumb. He has a logic.
Basically almost all dogs like to pee on car's tyres. Also dogs have a brilliant sense of smell. They attract through smell. They repel through smell. So when any car passes by them, by smelling other territory's dog they think that dog is in that car. So they chase. Next time, stop that car. He will smell and go.
Third,
You are sitting in classroom. You hear an absurdly annoying noise which directly plunged into your brain. You see what is going on. That class's annoying kid is scratching his nails on the board. You swear at him. So does all class. You forget. Ever wondered why does you hate that sound so much?
There are many theories about this. But the most popular is that that sound and the alarm sound of the every Nuclear Base has the same frequency. So whenever we listen to that. Our senses get awaken.
They also experimented on other animals. But that doesn't annoy them as much as it does us.