Since you are offline I will provide some information in case you are online when I am not; please post any follow up questions here and I will respond.
I will assume that this is an authorized user, since that is the norm;
so basically when a primary adds an authorized user to the account, the primary assumes legal responsibility for any purchases made by the authorized user. There is no obligation to allow an authorized user to continue to have access to the account; the primary can simply contact the credit card company and inform them to remove the authorized user from the account.
After the accounts are closed, the primary can then sue the authorized user for money that was spent, alleging breach of contract (presumably there was a oral or written-typically oral in this situation- agreement to reimburse).
Unfortunately, given the amount, Superior court is the proper venue (not small claims or limited court); that information is here:
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Information provided is for educational purposes only. Consultation with a personal attorney is always recommended so your particular facts may be considered. Thank you and take care.