Hard situation puzzles

Eva was a skeptic, and never believed in the paranormal. But after she had spent 3 nights in a creepy forest all alone, her skepticism disappeared. Why?

Many people were surprised when a famous town merchant named Bill rolled out a barrel of honey to the square and offered everyone a treat. But people were even more surprised when they asked about the reason for such a gift and heard Bill reply that it wasn’t a gift at all.

He wasn’t hungry, but food saved his life.

Bill always wore a silk scarf to work, whatever the weather. What’s his job, and why does he need this scarf?

They had to throw away plenty of their valuables, but it didn’t made them upset. What happened?