The proper manner in which to deal with her at this time is to replace her broken eggs with artificial ones or marbles and allow her to continue brooding for up to 3 weeks at which time her hormonal cycle should change from that encouraging egg laying to a quiescent period. If you remove the eggs altogether, you're likely to stimulate more egg production. If she hasn't "normalized" within the 3 week period, removing the "eggs" and hutch and any nest building materials will make her environment poorly conducive to laying and facilitate her hormonal cycle to cease. Most important, her diet hasn't been balanced and she's likely to be (at least) vitamin D3, calcium, and protein deficient at this time. She may have been calcium deficient prior to laying as evidenced by all of the eggs breaking due to thin and weak egg shells.
Seeds should compose less than 20% of her diet. (The treat stick just contains more seeds. The broccoli is a good idea but much more can and should be fed.) A diet of mainly seed and nuts has excessive fat, carbohydrates, and phosphorus; marginal protein; adequate vitamin E, and are deficient in amino acids, calcium, available phosphorus, sodium, manganese, zinc, iron, vitamins A, D3 (necessary for efficient absorption of calcium), K, and B12, riboflavin, pantothenic acid, choline, and available niacin. Ideally, a balanced pelleted diet such as can be found here: www.harrisonsbirdfoods.com or here: www.lafeber.com/pet-birds should be fed as well as hard boiled egg yolk, pancakes and cornbread, the tops of fresh greens, dairy products such as yogurt and cheese, fresh fruits such as apples, pears, melon, kiwi, and berries, vegetables such as broccoli, carrots, beets, asparagus, cabbage, sweet potato, and squash, and even tiny pieces of meat. For now, please add a water soluble avian vitamin such as Oasis brand to her water at half of the recommended dose so as not to make her water distasteful. Add a calcium supplement such as Calcivet or Calciboost to her water. These supplements are available in pet/feed stores.
Please respond with further questions or concerns if you wish.