Kirk: We got no ship, no crew, how're going to get out of this one?
Spock: We will find hope in the impossible.
When Kirk and Jay-lah appear on the bike they are already travelling at speed. This is impossible, as they would have had to enter the transporter room at speed, not possible with the Franklin's transporter.
USS Yorktown was the name of the central starship in the original pilot submitted to NBC in 1964 by Gene Roddenberry. Yorktown is the name of the space station in Star Trek Beyond.