I want to know who analyses reports and is it possible to get that work? Mainly because I would just love to make this community better with what little I can do:)
All you need to do is go to http://na.leagueoflegends.com/tribunal/ and log in. Once you log in, you will be presented with cases, where you can vote to Pardon, Punish, or Skip. Also the tribunal is only accessible to those level 20 or higher.
When considering cases, remember Riot's guidelines: