Not quite sure what you are unable to achieve there, but, as regards rests…
In Staff Settings, just make sure that Display Quantize is set to the lowest settings as desired for Notes and for Rests (and you can change these settings anywhere in the Score, by using the Display Quantize tool). Both of these are documented… (pg.553 of the Cubase 6 manual).
I don’t understand your problem about Intro measures… If the MIDI Part has empty bars at the beginning, they will still be seen in the Score. If you mean, specifically, “lead-in” bars, check out “Upbeats” on pg. 668.
You are using Page Mode, I presume? 