All 3 items are evidence it happened.

The Soviets did not object to the claim.

The landing was broadcast live by radio waves, not from a film reel.

No, no hobbyist has a capable laser with narrow-enough collimation and, more importantly, a sensor sensitive enough to detect the reflection. But many scientific groups in other countries have the equipment to do so to verify or dispute the claim. It's used to measure the distance to the moon precisely.