Battle of LA & The Transported Soldier

This week Rachel talks about the Battle of Los Angeles which was a famous(?) battle against the Japanese, or Aliens, or Balloons, or Blimps, or all of the above. Either way, something (or nothing) got shot at... A lot. RJ presents the case of Gil Perez, The Transported Soldier from 1593. Forget mermaids and whatever other crap they were believing in back then, this case has some evidence. Or does it?