Your altimeter indicates your pressure altitude, not your true altitude.

The temperature correction converts your pressure altitude into a true altitude so should not be applied in this case.
The difference between QFE (963hPa) and 1013hPa is 50hPa; at 27ft/hPa this is equivalent to 1350ft and at 30ft/hPa this is equivalent to 1500ft. If you use 27ft/hPa your answer is PA 6,350ft and if you use 30ft/hPa your answer is 6,450ft; PA 6,400ft is the nearest answer.