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- A week usually does the trick, but you can extend that time if she is stubborn. Has she been laying eggs in the coop? Could you post a picture of your setup?
-Pearl looks to be a mixed breed. I'm sure she'd love some company; you could add more bantams or get some standard sized breeds.
-For standard size birds, you want a minimum of 5sqft per bird in the coop, and 10sqft in the run, but bigger is always better. Since bantams are a little smaller, it's about 3sqft per bird in the coop, and 8sqft in the run. These measurements can vary depending on the birds temperaments, size, and total amount of birds you have. Your current setup works fine for Pearl now, and might allow for one addition, but if you decide to really expand your flock, you'll need more space.
-Chickens aren't dogs. Most don't like to be pet or held, though some are more tolerant of it than others. Treats are always good motivator to get an animal to like you. (do make sure you're feeding treats sparingly, no more than 10% of her diet). Try and get her to eat from your hand.
You might consider clipping her wings. Eventually they'll grow back, but it should prevent her from hoping so she'll get used to living in the coop.