OK, I'll give this a shot.
1) When you click "add reputation", how much will it add? In 10's, or 20's or....?
Every user has "reputation power" to give reputation to others, this equals the number of points that is given when they leaves positive reputation on others.
Reputation power is determined by several factors including length of membership, number of posts, and their own reputation score. A new user with 10 posts would likely have reputation power of 1. The highest I've seen is 11. All staff members have a reputation power of 10.
2) Are there special meaning to the different colour of the green little bars? Some are darker colored, some are lighter.
None really, they just get lighter the more you have.
3) When you put your cursor over your green bars, it will give some descriptions. Can someone list all the descriptions with the required reputation points?
From lowest to highest are listed here.
User is infamous around these parts
User can only hope to improve
User has a little shameless behaviour in the past
User is an unknown quantity at this point
User is on a distinguished road
User will become famous soon enough
User has a spectacular aura about
User is a jewel in the rough
User is just really nice
User is a glorious beacon of light
User is a name known to all
User is a splendid one to behold
User has much to be proud of
User has a brilliant future
User has a reputation beyond repute
4) Is reputation related to the colour of the green bars? Will I be able to see what are all my bad reputation points?
Higher reputation scores have more green bars. If you see red bars, that user has a negative reputation. Anything green is positive.
5) If someone leave me an unjustified bad reputation, after investigations, will the mods change my reputation points or nothing can be done?
For the most part, we've left the negative reputation as is unless its obvious that the user was only leaving it to be mean or unfair. Often, if I or the other staff feel the post in question was not deserving of a negative reputation rating we'll leave a positive one to coutner it. Remember, staff ratings count for 10 points while most of the negative reputations that are unfairly given I've noticed are worth 1 or 2. So you may come out ahead anyway.
Some other notes,
Reputation ratings only count after that user has rated 19 other members. Meaning you can't rate the same person twice in a row, you'll have to rate 20 members. This cuts down on the effect of users who may have grudge against certain users or purposely intend to raise or lower reputation scores of others.
Don't take any single negative reputation rating personally. Other members can't see your negative reputation ratings and they really don't count as much as say Trader Ratings would. It's really more entertainment purposes, while the Trader Rating is your actual "reputation" on the site.
Hope this helps,
RJ