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Yes:
No:

I believe He should because If there was a crossover at his current levels thor or hulk would kill him

^You don't know anything about superman, then.

http://t2.gstatic.com/images?q=tbn:ANd9GcQOSAlM-TIxPuqV7adj1GEQAXOnPaZVyXFF0qTmX88ZqJ-3ucO2mdDzXxMr

http://superherouniverse.com/articles/fights/superman-vs-thor.jpg