Do you have to live in Europe to apply for the EU shoutcaster?

I imagine it would be preferable so they don't have to deal with visa paperwork and all that nonsense. It's a pain enough when they travel for international events, but to deal with it for a constant staff member for local events would likely not be worthwhile.

Likely not a requirement, but definately something that would need to be addressed prior to official hiring.

No but most likely you'd have to move there to be one.