As with 9/11, since it's clear the group including Silverstein decided to "pull it" (WTC Building 7), setting off the controlled demolition charges that brought it down 20 minutes after it was already claimed by the BBC to have fallen, we also be assured that not only was Apollo 11 a Capricorn One-style staged event in an Earth-based studio, but that none of the Apollo flights actually landed on and returned from the lunar surface.
By not calling out "our betters" on prior hoaxes, our governmentally entrenched liars were only emboldened to ever grander schemes, such as causing the $2.1T announced 9/10 to missing from Pentagon expenditures to be forever after dismissed as old news.
(I have personally seen one of these.)
So what happened? The "petrified wood" is either someone's idea of a joke, or the real sample was stolen and replaced by a counterfeit. It was apparently given personally to the Danish PM by the American ambassador, and went to the Danish national museum on the PM's death. It's fake, but it doesn't follow that all of them were fake, especially since this looks like an obvious (and poor) counterfeit.
The "pen-like" object is the OPS actuator. It didn't detach from the PLSS umbilical (rectangular box). I've seen them in black, and also in metallic:
I don't know where your white one came from. Photographic distortion, or a different suit, possibly on a different mission? Can you point me to the right-hand picture on an actual NASA photo archive site for Apollo 11?