I have always found that the vast majority of "issues" in a Star Trek movie, or most movies, can be resolved vis some creative thinking. It is actually pretty fun to do.
I also do not like to pick apart movies. It takes the fun out of it for me. So with most movies I like to just go along for the ride and do not think too much about it. However, if a plot hole does jump out at me I can generally resolve it. If I can't they tend not to bother me too much.
If I like the characters and the story I can be a very forgiving viewer.
Let me take this point which is very easy to resolve.
11. Fencing - You do not use a Samurai sword or Katana or whatever the heck that was in fencing. YOU USE A FOIL.
I know some people who have fenced and read about some people who like to fence. Some of these people like to collect swords of many different styles and types. It is not difficult to conceive that Sulu could be a sword collector and grabbed one from his quarters that he felt would be sufficient for combat if he needed one.