i got stuck on the same part. then i started walking around and found an entirely different open gate. do you follow the golden trail? there is more than one gate in rookridge. so try exploring or follow the trail.
Unless you live out in the boondocks there should be a local board of health you can contact for the heat and outlets. In NJ generally the Fire Dept has oversight of smoke and CO detectors. The local municipal office should be able to give you the phone number.