Theodore our little Chihuahua plays with his dry/kibble food in the same way Layla does.

Q's number 2 i am not to sure about.

Q's 3,

Answer.
Obedience training.

Have a place that Layla is to rest when you are eating eg a mat or dog bed. start off with small stays and give plenty of praise when Layla is lying quietly on her mat. And make sure the humans always eat first, Layla could be testing out the pack order and trying to get into top position by wanting to eat before you.

Good luck.