Your rifle seems to me to represent about the best of 1930's technology. It would be interesting to know if it started as a barreled action purchased through the DCM. The stock appears to be everything you could wish for in such a rifle.
To give you an idea of the capability of an aperture sight, the 100 yard target used in NRA small bore competition has a 2" 10 ring and a 1" X ring. Perfect scores are not all that uncommon, and the X count decides many matches. Your group would have stayed inside the 10 ring, had it been centered properly.
I would think that Pennsylvania deer should be very apprehensive.