Have you ever dreamed...

Ex:

(1) Have you ever dreamed that you are falling from the sky?

(2) Have you ever dreamed that you were falling from the sky?

(3) Have you dreamed that you fall from the sky?

(4) Have you dreamed that you fell from the sky?

(5) Have you dreamed that you have fallen from the sky?

Q1. Are all of the above grammatically correct?

Q2. Do they all mean the same thing?

Q3. If they are interchangeable (or some of them are), what is the grammatical reasoning that allows it (different tenses but same meaning)?

Thanks in advance.