But on your other points.

1. Did you not see Star Trek Into Darkness?
2. Not sure if you're being sarcastic there.
3. The previous 2 movies had plenty of physics problems as well. Here are a couple of good articles on the problems with the science with Star Trek Into Darkness and Beyond

http://www.aintitcool.com/node/62867

http://www.aintitcool.com/node/75816

4. It was unnecessary but the scene was very brief and if not for the media controversy, most people hardly would've noticed it.