First off, taking his script and simply rearranging the order of a couple events is hardly doing anything better. He and the other writers did all the heavy lifting. You added a couple of frivolous notes in the margin, at best.
Secondly, the things you are concerned about are so miniscule and ridiculous in the grand scheme of things. Do you honestly think 99% of viewers even noticed or cared about the physics issues of the Enterprise falling to Earth or whether other Starfleet ships came out to fight? What you personally are concerned about is so far afield of what most viewers cared about. Most people who saw the movie are not die hard Treknology or physics geeks who care about stuff like this.