I like the plot laid out for this remake/homage to the original game, but have some issues with the depiction of terraforming Venus.
Not only does Venus rotate really slowly, it also rotates in the opposite direction of all the other planets in the solar system. Making it go faster the direction it's already going would be less trouble than trying to reverse its spin. The new moon you park in orbit around it will likewise have to run the opposite way from every other moon in the solar system. Ask a scientist who knows about orbital mechanics if you're interested in the nitty gritty details.
Next up, for your new Venusian and Martian moons, you'll have to watch out for the Roche Limit. It varies depending on the size of the two bodies and the tensile strength of the smaller body. What the limit is, is the closest the smaller body can orbit the larger without breaking up from tidal stress. the 'ideal' Roche Limit is often calculated with the smaller body having the strength of water. Solid bodies can get closer.
After its slow, retrograde rotation, the next largest obstacle to terraforming Venus is its atmosphere. It has far too much of it and the wrong combination of gasses. The surface pressure is about 92 times Earth's. Its surface temperature is between 800 and 900 degrees F or around 460 degrees C.
The *last* thing you want to do is slam comets or anything else into Venus that'll add more gasses to the atmosphere. You need to eliminate 90% of it, ending up with around 70% nitrogen, 20% oxygen, 0.03% carbon dioxide. Other trace gasses, no problem as long as they're not irritants or deadly poisons. Even then little bits of stuff like chlorine and sulfur won't be an issue. Water vapor and ozone will come naturally when you get around to filling the oceans. Ozone is naturally created and destroyed constantly by solar radiation.
One idea I've had for simultaneously dealing with the rotation and atmosphere problems is to build several giant towers around the equator. Put some frikin huge nuclear rockets (based on the NERVA or DUMBO designs) that use the Venusian atmosphere as reaction mass, pumped up from below, through some handwavium device that keeps the nitrogen and oxygen while passing most of the rest. Over time the thrust spins Venus up to a 24 hour day, sunrise in the West! Once started, pumping wouldn't be required due to the huge pressure differential between the surface and the vacuum of space at the tower tops. Giant nuclear powered siphon pumps, no moving parts but the reaction mass of Venusian atmosphere.
The "air" would have to be accelerated to escape velocity, otherwise it'd just whirl around a bit and fall back down, mostly negating the effort to increase the spin, sort of like putting a fan on the stern of a sailboat, blowing into the sail.
Another method would use the towers, but in combination with electromagnetic catchers and accelerators to grab and hurl large pressure tanks that run in highly eccentric orbits around Venus. Catch an empty tank, which adds a little spin to Venus, fill it full of compressed gasses then fling it away, which also adds a little spin. When the tanks are far enough away from the planet, vent the gasses in such a way they won't get back to Venus. the vented gas could also be used to guide and accelerate the tanks back to be grabbed again. That would take massive amounts of power, so again something nuclear.
Lots and lots and lots of tanks would be required, possibly millions. Extra 'kick' could be provided by periodically sending in tanks full of water, compressed oxygen, loads of cargo etc. Whatever's useful and HEAVY to be grabbed and add its kinetic energy to making Venus spin faster.
Either way the major MAJOR problem is what to build the towers of that can withstand the extreme surface temperatures.
If you want to get into higher high tech, use antimatter to react with small amounts of the atmosphere and blast that through a siphon jet, dragging up large gulps of air. Of course the antimatter would have to be totally annihilated with normal matter so none comes in contact with any of the parts of the system you want to keep intact. Then there'd be the problem of the rather large amounts of hard radiation created, wouldn't want anything like, oh, Earth getting in the path of the exhaust streams. Other than those piddling little issues, lots more thrust and shorter time to those scenic western sunrises.
Finally, a quote from some book I can only remember this from. "On Venus, if your exhaust temperature isn't hotter than the atmosphere, you're not running a rocket, you're running a refrigerator." Was something about how difficult it is to have jet propelled aircraft in an atmosphere as hot as Venus when even at 1,000 degrees F exhaust temperature the engines were horribly inefficient.