Ok, these are my thoughts:
1-Is it okay to compare a game to another game, or should the references be vague? Only if the game reviewed is a sequel or the new entry of an existing franchise. In those cases comparisons between the new game and the old ones are welcome.
2- Do you prefer the review to be free-flowing or structured? I don't care. The structures ones are good because you know what to expect from that part and you can skip it if you want. Free-flowing ones tend to be a bit more chaotic, but if well written are also more enjoyable.
3-What's the ideal length for a review? Do you like longer or shorter reviews? The necessary. If there is few to say then do a short one, if you have lots of thing to say, do it. Trying to stick with a certain lengh causes reviews to be boring (if longer than needed) or frustating (if shorter).
4-Do you care about the reviewer's story and how he came to play this game? Actually not. It's ok if it's a sequel and the reviewer says that has played the other ones or not, but the story of what happend the first time he started the game, etc. it's pointless. At least to many
5-Do you prefer to laugh while reading a review, or would you prefer it to be serious? A review has to be entertaining. Besides there are not many games where a funny review would fit. I'd find odd to read a funny review of games such as Resident Evil or Gears of War.
6-Do you prefer a review that points out flaws or one that highlights the good? Is Balance best? Balance, ofc. Any game will have its pros and cons, so it's good to know which ones are.
7-Is it okay to use a review as a platform to discuss a game mechanic you feel strongly about? By "game mechanic", do you mean the controls or the way the game progresses? Either way, both things are needed as they can make or break a game.
8-Do you prefer written or video/audio reviews. Since my english is quite bad, I prefer the written ones, but video-reviews are also useful as we can see the game.
9-Should it be about opinion or should it stick to the straight facts? Well, truth is that it will always be an opinion, as the review will express the experience of the reviewer. That said, and going against the 3rd point, you can write the review relying to the facts and add a "last comments" or "personal view" section at the end when you can share your thoughts.
10-
What is the most important thing in a videogame? Story? Gameplay? Production values? How it results. A game is a mix of all those ingredients, add to much of one or too less of another and that supposed masterpiece may end being boring as hell, or repetitive, or completely dull. For example, Mario games have 0 story yet they are entertainig and fun, yet Metal Gear Solid, which have story, may bore some players by the way it's told.
11-What is your ideal review grade? What does each number or letter mean to you? Do you prefer letter or number grading? See Jay520 post.
At the end of the day, what matters in a review is the message. If you can manage to explain why a game (or a movie, comic, whatever) is good or bad and why, then the review has done it's job.
Just my 2 cents.