getting a job in north america is pretty much impossible unless you have an exceptional talent, such as david beckham or some famous singer, or you do something which other americans can't do and that america needs. or, for example a job where they curently have a shortage or marry an american. you need to have an american employer support your application fr a visa, so again thats tricky because they need to offer yu the job before knowing if you can get a visa - a lengthy process.
Look on the american embassy website regarding visas and categories, although even there they dont tell you what current jobs are in need
as regards to studying over there, i'm sorry i dont know for sure but some uni courses have an ption where you can do part of it abroad. my friend is in san diego at the moment, but thats for a year as part of a longer 4 year course