1) you have a point - didn't think about JAA - I suppose you would qualify
Find a potential employer and get him to fill out a form. To quote from an alaskan webpage
"Once you have a job offer, your new employer has to fill out paperwork with the Department of Labor and the Immigration and Naturalization Services (INS). It takes 90 days to be approved. Once hired and approved, you apply to work through the consulate. Thereafter you can work in the US for three years. After that you need to be a permanent resident. Follow this link for more information:
http://www.ins.usdoj.gov/graphics/howdoi/immstatemp.htm "
Dont know what to really say on the other points.