I'll address the first observation first; viz, struggling up slight inclines at 100-120km/h, rpm 1600-2000. Clearly, in the auto, this could only be achieved in 6th gear. As most of you are aware, the stock LS3 really only comes alive from 3000rpm. So, at 1600-2000 in an overall ratio that would see 280km/h in an unlimited Commodore, it is entirely unsurprising that acceleration is poor. You see, despite the motoring journos all yapping about the LS3's great torque, it just ain't true (below 2700-3000). These same journos used to criticize the LS1 for having little low range torque. Having owned both of them, I can state quite authoritatively that the LS1 was pretty good down low, and the LS3 not so good. Remember, an LS3 in a VF II Commodore is a 376ci plant in a 3900-4000lb body; this is a similar cubic inch to weight ratio as a 383 Dodge Phoenix or a 390 Galaxie or a 308 Statesman - not real good, you'll agree.
So, what d'ya do? Well, the rear axle is already a fairly stout 3.73, and the trans has very widely spaced ratios, so you can't do much there. The motor can be improved with airboxes, exhausts, cams, and "tunes", but these will generally add to the mid and upper rpm torque outputs. Witness the "407", it really rips from 3000-3300, but is virtually identical to the stocker below 3000. The HSV 340kW LS3, of which I drove a fair bit in a Tourer, was similarly fairly sedate down low, but really got up and ran from 3000rpm.
If you want to improve the bottom end torque, there really are only three solutions; in order of simplicity, they are: Nitrous Oxide injection, displacement increases, or forced induction.
1: Nitrous has obvious disadvantages, and I won't consider it any further.
2: Displacement increases involves motor out, heads off, almost complete disassembly, new crank, rods, and pistons, reassembly and reinstallation. A lot of work, but undetectable from the outside (think cops and insurance assessors). The result: 427ci is easily achievable off the shelf. Much better bottom end torque....and mid range and top end!! I recommend a bit of a cam upgrade, and the usual induction/exhaust improvements for a real street thumper.
3: Forced induction - expensive, complicated, easily detected by the aforementioned cops and robbers - but will yield bottom end torque like no other. This is the factory solution (LSAs, Ford Coyotes, Jags, etc) and the aftermarket ultimate solution (Walkinshaw 450-557 packages, Herrod, KPM etc).
Say you don't want to touch the engine, but you want more off-the-line pep, the only other solution (short of removing the interior, doors, boot lid) is to loosen the convertor. The LS3/Commodore set up would really love a torque convertor that slipped to 3000-3300rpm. Then you could light up the tires at will. Of course, fuel economy would take a big hit.
Say you don't want to do any of that, then, as others have pointed out, you just need to understand the LS3's torque curve. All you need to do is keep it in a gear that will keep it in the 3000-3500rpm (or higher) range at whatever road speed you're doing. As one of the motoring journos said, "...the LS3 rewards revs..." At 100-120km/h, if you want it to bark at the slightest right foot movement, hold the auto in 3rd or 4th (use the paddles). You'll be flattening hills and embarrassing trucks in no time.
Regarding your second observation re slowing down, in theory a bigger engine being throttled (that is, foot off pedal) will provide more resistance to road speed than a smaller engine. This was easily observed in the older cars (pre-90s). However, another factor which is often more important nowadays is transmission (autos only) can have their so-called "engine braking" ability altered according to what the designers want. It is quite possible and easy to design an auto to have NO engine braking. Anyone who has driven some of the older autos with full manual valve bodies will have experienced this. So, you can have a 600ci Hemi with a 727 Torqueflite and a Transgo manual valve body that merely coasts once you lift your right foot. The '72 Corolla 1300 auto next to it will slow down markedly once granma lifts her foot. The Commodore LS3/auto has significant engine braking built in, quite unlike the final Falcon's V8 auto which has almost none. I haven't driven any V6 Commodores since a VT back 10 years ago (nor do I want to) so I can't comment with any authority on them, except that I don't recall the VT/V6/auto being anything unusual. Your VF II/LS3/Auto combo is what it is, the powertrain engineers have set it up with that amount of engine braking, and, just personally, I quite like it.
I hope all the above waffle helps you.