You can include in your filing a request for reimbursement of costs. Understand there is a difference between court fees, usually small, and legal fees or costs, usually huge. However, unless there is a history of contempt cases the judges are not inclined to grant the extra costs. As L&L comments, contempt judgments are often treated like parking tickets until the pattern is undeniable. Doesn't mean you shouldn't ask, just means not to be too disappointed if judges ignore that request at first.
One reason is judges are reluctant to grant awards to the 'winning' parent, they'd rather not go down that path. Some here have suggested a way to lessen that reluctance by asking that any sanctions or awards go directly to the children's benefit such as their education fund or something like that. This way it's not you winning sanctions, the children are always the winners.
