1998 Honda Prelude Car wont start but lights work.

Hello, I recently tried to start my car and it would simply not turn on ( made clicking noise). I tried jumping the car and it finally worked. I then took it to advance who said I needed a new battery. After installing a new battery 4 hours later the car did the same thing ( lights would work but car would not start with clicking sound). I took it back to advance who then said it was the starter. After installed the new starter the same problem was occurring. It almost sounds like the car shorts when I turn the ignition because the lights work but when I turn the key I hear a click and everything turns off for a couple of sec. The car still works when jumped. Anyone know what the problem could be? Answers are much appreciated!