Sounds like an ear hematoma.  It's can be from a dog shaking it's head and it's ears flapping back and forth.  It causes a broken blood vessel.  Usually it requires surgery.

Sounds like your cat has something up his nose.  A sticker, piece of grass, foxtail??  You should take your cat to the vet before it gets worse.  Stickers can travel far up into the nasal cavity and cause lots of problems.