1) This is a sentence fragment. It doesn't provide information on the problem, what "his" name was, nor why he was lucky. If it were a run-on sentence, it would have no grammar.
2) This is a sentence fragment. It gives no information on who the man in the sentence is, nor what type of education he must finish. If this were a run-on sentence, then the sentence would have been longer with no grammar.
3) Before the end of the day, the workmen promised to fix the bedroom fan, replace a broken dor, and hinge plumbing in the basement, tack down the faulty carpet, and they would then try to deliver the new cabinets.