Did the Americans put a man on the moon?

1. It's not like a car journey. You're not burning fuel all the way. Not even the vast majority of the way. Basically you burn a lot of fuel to get out of the atmosphere into orbit, dropping your "fuel tanks"(stages) as you go. When you get into orbit where you're already going around 20,000 mph, you then essentially aim at the moon, fire your last big "fuel tank" rocket to give you even more of a push. This burn lasted around 30 seconds. At which point you drop that stage and you drift "fall" at high speed towards the moons gravity well. When you get there, you've slowed down as the moons' gravity is much weaker, you fire your engine to slow you down enough to go into orbit. To come back, you fire it again to get you out of orbit pointing towards the earth. By the time you get back to earth you're really motoring(bigger gravity well) 25,000 mph. Think of it as cycling up a steep hill. You put all your energy getting to the top and freewheel down to the bottom. Orbit is kinda like stopping at the top.
2. Yes they match. Do you think if they were actually faking it they'd make that mistake? Plus moon conspiracy morons nearly always concentrate on Apollo 11. The one with the early crappy video cameras that only spent a short time on the surface. They tend to avoid talking about the hundreds of hours of live colour video, sound, transmissions, hundreds of photos, samples, telemetry from the later missions.
3. Nope it's not Van Allen himself said it wasn't. Alpha and Beta radiation is stopped remarkably easily. Alpha is stopped by your bare skin. Thin paper would stop it dead. Beta isn't much more penetrative(it's only when you ingest alpha/gamma emitters that's a big problem). Gamma's got a lot more energy, but they flew with the lander part and it's engines etc into the "stream" of particles and went through it quickly. They essentially got a couple of xrays worth of a dose.
4. President Clinton got a blowjob from his intern in the Oval Office. The most protected person on earth pretty much. Only two of them involved. How quickly did that get out? But tens of thousands of Americans, Russians and a host of others in tracking stations around the globe, never mind the tens of thousands of engineers and scientists involved and yet...

Coming back to Earth is a tiny fraction of the vehicle that started out. It's not much larger than an SUV, and it is slowed down by "air". It uses the upper atmosphere to slow down. That releases a huge amount of energy hence they need an ablative heat shield to resist the fact they're essentially a fireball. At those speeds even the very thin atmosphere puts up a helluva resistance and they had to get the angle of entry just right. If they came in too steeply their heatshield woudn't take the strain and they'd burn up, too shallow and they'd literally bounce off the atmosphere.

Going to the Moon the gravity well is a lot weaker than Earth so by the time they "fall" there they've lost a lot of energy and speed, so it requires a lot less thrust to slow down enough to get into lunar orbit. Even so the rocket motor is not exactly small.

That motor worried them the most. They needed it to burn successfully to get them into lunar orbit and then needed it to burn successfully to bring them back home.