depends of what website, but if there is not blackhats, tricky redirections or anything like that, then it should be fine.
I'm not so sure about that... If your site is receiving visitors from something like an automated traffic exchange, it may not fly. Anyone have any knowledge on this? I tried to look it up but couldn't find what I was looking for.
i also think that it depends on the website that links to you. i don't think that google will like if almost all your visits will come from a warez website.