Do Buddhist believe in afterlife

Answer 1

Not exactly as you might think of rebirth. Buddhist do not believe in a complete never changing soul of a person that gets reborn (transmigration) into a new body. Instead we believe that our current consciousness is an aggregation of our past actions and consciousness and other factors. When we die the consciousness that arises in a new person is neither identical nor entirely different from that the previous one but the two form a continuum or stream.

Think of it this way. Imagine all the consciousness of the world is an ocean. The ocean moves around due to different actions and forms waves. Those waves are like people. They arise, stay for a while and then rejoin the ocean, only to arise somewhere else in a slightly different manner. That's how we view rebirth.