Yes you can file an answer to the contempt and you may file your own contempt, legal custody really means you both have to agree on something like this, if you cannot you may file a motion and let the court decide, take care and I hope that things work out.
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It sounds like you have an attorney. You should be consulting him/her for these issues and the attorney should be explaining to you what sharing legal custody means. Parents who share legal custody are supposed to consult each other on various issues. Whether to put a child in day care 2 times a week, doesn't usually fall under the list of things the parties are required to consult about. Further, Legal Custody requires you to consult with each other and to make these decisions together. That does not mean one parent can unreasonably withhold her/his consent. If the privilege of sharing legal custody is not working or is being abused, it might be time to revisit the issue in court.