<human>: A brief background: I am an Asian, currently about to finish a PhD in experimental physics from a highly reputed university in Europe. I also completed one of those 2-year master degrees with an Erasmus Mundus fellowship before this PhD where you get to study and travel in 3 countries. Prior to that, I worked for an American firm in my home country for a couple of years. 

All this while, I was more concerned and motivated about research and education and I believe I did quite well with what I had to do, in terms of grades, research output, awards, publications etc. Previous graduates tell me that one must look for jobs starting from six months before graduation, though it is hard to do that as I am concentrating on writing the thesis at the same time. I have started to look for jobs, and I am faced with the following problems/issues. Any suggestions/pointers are welcome!

I would like to work for the industry in research and development and most of the jobs in my field of study are in EU or the US. How am I supposed to overcome the following issues?

1. For potential employers in the US, would they plainly refuse to look at my profile, because I am a resident of Europe and that I would require a visa just for attending an interview? (I ask this because I applied online to some jobs for which I thought I had a 100% match but only got cordial reject responses)
2. I am aware of the H1-B visa issues. How about if I offer to apply for an O-1 visa? Will that work for a PhD candidate from Europe?
3. For potential employers in Europe, though I am fluent in English and French, the requirement of each regional language (German, Dutch..) still appears to be a botheration. Any ideas to overcome this issue?
4. For a PhD with a 2-year industrial experience such as me, would it serve better to write to headhunters/talent recruitment agencies directly via LinkedIn for example?

I will update with my progress, as things unfold in the coming months. I know I have some time left. But it is hard to not be anxious.

Can you provide a brief overview of the text?
<bot>: Asian with a PhD from a reputed European school and 2 years of job experience starting job search. Looking for tips and ideas to deal with various issues.