Are these magical powers real?
Some of these have been actively researched in Parapsychology. The Wikipedia link directs you to research efforts around this subject.

If you are skeptical of what others have to say you can verify your self by developing the Jhanas. Also keep in mind more you long for these powers more further it becomes so your practice should be very diligent with strong sense of equanimity through out the practice. Once you see for yourself (Ehipassiko) your doubts and skepticism will disappear.