"Proof" of the landing is said to be the Lunar Laser Retroreflectror, but...

Laser is reflected by the Moon anyway.  Everyone knows about how well Sun light is reflected by the Moon.  Duh.
youtube.com/watch?v=bxEZXyQk4rs

Dr. Caroll O. Alley (U Md) demonstrates a laser reflector returns laser in parallel path back to the source. 

Laser light diverges about 1/3 inch per mile.  After 280000 miles (400000 km), it disperses about 1.6 miles (2.6 km), 1.28 sec. each way.

Russians have a reflector on a rover.  There is no way to distinguish its reflector from Apollo's

National Geographic
December 1966 article
"The Laser's Bright Magic"

Scientists were bouncing laser beams off the Moon in 1962, 7 years before the alleged landing

The Moon reflects light from the Sun anyway. 
It is a sphere, so the middle point will naturally bounce back to the laser source

Beam "a" from Earth hits at an angle and bounces off
Beam "b" hits the center and bounces back to source
Beam c from a different location bounces off at an angle