My tool was stolen because I left it on the stage when there was about 20 contractors running about - my fault entirely!
Yes - by all means bring the laptop. And download some current movies/tv shows before you go. Also good if you have and know how to use music editing software.
Don't recall if the safe in the room was big enough for a laptop - never felt 'unsafe' about carrying it or having it around.
I picked up a small gate-mouth tool bag, but even an old mic pouch would be fine for tools