They had the technology to land unmanned craft on the moon then so the mirrors are not proof that there were people on the moon.In the meantime, go to one of the labs where they're bouncing laser signals off mirrors NASA's "nonexistent" astronauts left on the moon. They left mirrors there so they could precisely measure the moon's distance from Earth and its orbit. If you can give an alternative and credible explanation for how you could be getting a sharp return signal, and how the effect is inconsistent with a man-made mirror placed on the moon at one of the landing sites, you will get all the fame and attention you could ever crave.
Google "surveyor moon".