Factual error: When Ray is on the moon, he's getting the spear from the flag that was planted in the Sea of Tranquility, from the Apollo 11 mission. When we see the flag, it's still standing up. However, Buzz Aldrin saw, and reported, that the flag fell over from the rocket's exhaust as they left the moon, and no one from Apollo 12 put it back up.
Factual error: The astronaut in 1970 says "run any test you like I just want to be on that shuttle". The shuttle wasn't in operation until 1981, the mission he's referring to is the Apollo 13 rocket. (00:39:50)
Answer: My speculation... As Chronos was sent by the Time Masters, the armour he is given may have some sort of 'time folding preventive' system built into it? (A pure assumption on my part).