My bunny gets let outside each morning and digs in the back yard for a few minutes. I don't think he does this out of boredom but more out of instinct. I leave the screen door open and he's in the kitchen within 10 minutes from backyard playtime. He's a creature of habit so I just let him dig...
Yes go to vet and they will prescribe Revolution which you will squirt on the nape of your bun'z neck. My bun had fleas last year and I have to do this now once a month- fleas are gone!