What is the length of the cable? Is there any interference nearby, influencing the router, cabling, or is the powersuppy not functioning correctly (very hot?)...
The report on impedance mismatch/OPEN is very odd indeed. Looks like you eliminated most/all variances (all ports tested, different cable) of the links... Have you tried with a 'cold' router, removed from interference (Gigabit still is finicky on strong electromagnetic fields), and possibly tried another power-supply? If all that fails, then you might have a 'wonky' router. It happens...