This issue will be fixed in our 4.6 update. In the meantime, you can contact customer service at skullgirlsmobile.com/contact with your in-game name and public ID and they can unlock your fighters.
Will you be more specific? Not sure what you mean by "can't claim your relic"
When you complete a deployment, you are not guaranteed a reward. Fighters with a higher fight score or matching the fighter/element types of the deployment will increase your odds of receiving a reward.