Do you have to take work home almost every night? Why?

NO and one should not!

Rarely but when I do, it will be for very important report which is due.

Creating a balance between your work life and personal life is very important,I believe work should be left at work,if you carry your work home you will get burnt easily.

fresh mind is needed when you enter the work place.

If you mean physically, I dont do that. On the other hand, mentally, I carry work with me all the time and work on controlling my self to put it aside while playing my other roles.

not daily occasionally. when management tells to finish the job next day itself for creating presentation and documentation.

Its depend on situation of work load & also some times Its requesting by the reporting manager.. 

If you are having company provided smart mobile you can't avoid

No, but somewhat.