yes.
Or, at least your reading of the rules is correct.
I believe the thinking goes like this:
Hitting a moving target is harder than a stationary target (very true if you have any experience at shooting), as you have to lead the target and anticipate where the target is going so that your bullet intercepts the target.
Thus, the Defender receives a +2 DP modifier, as he is moving (the faster he is moving the bigger the bonus)
The Shooter, firing at a moving target, has a harder shot to make thus the -2 DP.
in the other two examples (cover and shooting into melee) there are different factors.
For cover. Generally the target isn't moving, but there is a large object preventing you from seeing to hitting the full target.
Think back to just about every action movie ever where they are shooting down a hallway. They are not standing out in the middle of the hallway shooting at each other (no cover). They are peaking out of doorways exposing only their head, should and arm , firing off a shot or two and ducking back in. (+4 DP to defense)
Of course, nothing saying that a defender couldn't have multiple modifiers, if the situation calls for it.
SAY:
You're on level ground, and look across a field to see an enemy security guard in a trench. He spots you, and begins sprinting down the trench he's in to get to a panic button.
Well, the Guard is across a field. (Range modifiers)
Sprinting (+4)
has partial cover from the trench (+2)
So now, to shoot that guard, you are at a negative DP of -4 (plus range modifer!)
and the Guard is +6 DP
Hope you're a good shot!
when shooting into melee....
Who is at a dis-advantage?
The defender as some guy in his face, punching kicking biting stabbing him, taking his attention up... and now someone is shooting at him! (possibly from outside his view range! Damn bullets can travel pretty friggin far!!)
Because his attention is taken up by the guy that is trying to turn his face into a meat patty, the defender is -3.
note the blurb on page 190 "shooting into melee" Its not all fun and games as there is chance you could shoot your buddy too!