As in The Girl in the Gator (2007), it is declared that their warrant is only for items "in plain sight", "the warrant includes anything that is in plain sight.", it even becomes an issue when they need to see something that's out of sight. In fact, a search warrant gives authorities the right to search wherever the evidence they are seeking reasonably would be found within the location being searched. A "plain sight" restriction would be highly unusual and rather ineffectual.
Colonel Bob Reid mentions "space junk" "whizzing around at 25,000 miles an hour." This is not possible: orbital speed around Earth is about 17,000 mph; escape velocity is 25,000 mph, so anything moving that fast wouldn't be in orbit; it would be moving away from the Earth.
124 miles per hour is stated to be terminal velocity for a person falling, but terminal velocity varies depending on the position of the body. Someone falling head-first could hit 200 mph. (Terminal velocity also increases with altitude due to lower air pressure, so in principle, someone who fell onto a high mountain could hit harder than someone falling to the ground at sea level.)
Booth calls to find out if the astronaut's plane is in the hanger. He says it is a turboprop. The plane they examine is a Cessna 340. That is a piston engine plane.