#1
Will i need to change the action or adjust the truss rod changing from 10's to 11's?
#2
It depends if the guitar needs to.

If the guitar needs to be adjusted in any way, adjust it. Measure the guitar's action, its neck relief, its intonation and decide if it needs to be changed. If it doesn't need to be changed, leave it.
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#3
At the least, you probably will need to adjust intonation and action. As far as the truss rod...that's a maybe.
#4
If the guitar has been set up for 10's you SHOULD be ok. It's the same theory as going from 9's to 10's and so on.
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