Oh I remember reading this but forget. Anyways I’m pretty sure if you read the chapter, the answers right there lol.
To travel
Source - I read the novel
The king sends people to the arena because he thinks that if they chose the right door (the lady) they were good people but if they chose the wrong door (the tiger) they deserved it and they were bad people.
The last one
From behind the trees
Because she is free and is able to do whatever she wants to do. it is fantastic
