I can see his argument that by starting his 7 days of uninterrupted vacation time at the end of his regular 2 days visitation time that he would actually get 9 days total in a row. That probably was not the court's intent, however, were you in front of the judge, it might go either way, depending on exactly how the order is written.
If I understand correctly that his regular visitation is 2 days every other week, presumably every other Saturday-Sunday, I fail to see any mathematic equation that makes 18 days in a row.
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From what you've said it sounds like that there is nothing to prevent him from tacking on a one week (7 day) vacation period to the regularly scheduled days. However since you said it says two one week periods, he should not be allowed to take the child for 2 weeks in a row. Refuse to give him the child for two weeks in a row. Regarding the child abuse, it's very important to have good evidence of the abuse before making such an allegation in court. If you suspect abuse take the child to be examined by a doctor immediately. Have the child see a therapist so the therapist can testify to whatever abuse the child has experienced. Regarding the child support, you should file a petition with the court to have it enforced. The child's father could be jailed if he does not have a valid reason for not paying the support.