Yes, Last I checked, drones could only target seen enemy targets, so they couldn't go into systems where you didn't have a current view. A cloaked ship or satellite will provide this.
I agree "move to" would be a great addition, and expect a collective whine will get it in an early post-Gold patch.
As for the speed question, I think it's the same as ship speed for what you throw on it, plus 1-3, depending on drone tech level. So low tech = speed 7, highest in the normal tech set would be something like 6 + 3 + 3 + 3 = 15, or 16 if "propulsion expert" counts.
PvK